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Finding the Fourth Proportional to 13,702.78, 18,909.72 and 7,415.14

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Solution

The fourth proportional to 13,702.78, 18,909.72 and 7,415.14 is: 10,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.78 : 18,909.72 = 7,415.14 : x
  2. Step 2: Convert to fraction form
    13,702.78/18,909.72 = 7,415.14/x
  3. Step 3: Cross multiply
    13,702.78x = 18,909.72 × 7,415.14
  4. Step 4: Simplify right side
    13,702.78x = 140,218,221.16
  5. Step 5: Solve for x
    x = 140,218,221.16/13,702.78
  6. Step 6: Final answer
    x = 10,232.83

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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.