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Finding the Fourth Proportional to 12,702.54, 17,530.12 and 7,666.68

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Solution

The fourth proportional to 12,702.54, 17,530.12 and 7,666.68 is: 10,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.54 : 17,530.12 = 7,666.68 : x
  2. Step 2: Convert to fraction form
    12,702.54/17,530.12 = 7,666.68/x
  3. Step 3: Cross multiply
    12,702.54x = 17,530.12 × 7,666.68
  4. Step 4: Simplify right side
    12,702.54x = 134,397,820.40
  5. Step 5: Solve for x
    x = 134,397,820.40/12,702.54
  6. Step 6: Final answer
    x = 10,580.39

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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.