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Finding the Fourth Proportional to 13,702.54, 18,909.54 and 7,414.90

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Solution

The fourth proportional to 13,702.54, 18,909.54 and 7,414.90 is: 10,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.54 : 18,909.54 = 7,414.90 : x
  2. Step 2: Convert to fraction form
    13,702.54/18,909.54 = 7,414.90/x
  3. Step 3: Cross multiply
    13,702.54x = 18,909.54 × 7,414.90
  4. Step 4: Simplify right side
    13,702.54x = 140,212,348.15
  5. Step 5: Solve for x
    x = 140,212,348.15/13,702.54
  6. Step 6: Final answer
    x = 10,232.58

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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.