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Finding the Fourth Proportional to 12,403.63, 17,118.09 and 6,815.71

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Solution

The fourth proportional to 12,403.63, 17,118.09 and 6,815.71 is: 9,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.63 : 17,118.09 = 6,815.71 : x
  2. Step 2: Convert to fraction form
    12,403.63/17,118.09 = 6,815.71/x
  3. Step 3: Cross multiply
    12,403.63x = 17,118.09 × 6,815.71
  4. Step 4: Simplify right side
    12,403.63x = 116,671,817.52
  5. Step 5: Solve for x
    x = 116,671,817.52/12,403.63
  6. Step 6: Final answer
    x = 9,406.27

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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.