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Finding the Fourth Proportional to 12,702.79, 17,531.49 and 7,397.68

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Solution

The fourth proportional to 12,702.79, 17,531.49 and 7,397.68 is: 10,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.79 : 17,531.49 = 7,397.68 : x
  2. Step 2: Convert to fraction form
    12,702.79/17,531.49 = 7,397.68/x
  3. Step 3: Cross multiply
    12,702.79x = 17,531.49 × 7,397.68
  4. Step 4: Simplify right side
    12,702.79x = 129,692,352.94
  5. Step 5: Solve for x
    x = 129,692,352.94/12,702.79
  6. Step 6: Final answer
    x = 10,209.75

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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.