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Finding the Fourth Proportional to 12,461.68, 17,196.68 and 7,157.12

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Solution

The fourth proportional to 12,461.68, 17,196.68 and 7,157.12 is: 9,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.68 : 17,196.68 = 7,157.12 : x
  2. Step 2: Convert to fraction form
    12,461.68/17,196.68 = 7,157.12/x
  3. Step 3: Cross multiply
    12,461.68x = 17,196.68 × 7,157.12
  4. Step 4: Simplify right side
    12,461.68x = 123,078,702.36
  5. Step 5: Solve for x
    x = 123,078,702.36/12,461.68
  6. Step 6: Final answer
    x = 9,876.57

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.