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Finding the Fourth Proportional to 13,702.56, 20,549.70 and 7,125.15

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Solution

The fourth proportional to 13,702.56, 20,549.70 and 7,125.15 is: 10,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.56 : 20,549.70 = 7,125.15 : x
  2. Step 2: Convert to fraction form
    13,702.56/20,549.70 = 7,125.15/x
  3. Step 3: Cross multiply
    13,702.56x = 20,549.70 × 7,125.15
  4. Step 4: Simplify right side
    13,702.56x = 146,419,694.96
  5. Step 5: Solve for x
    x = 146,419,694.96/13,702.56
  6. Step 6: Final answer
    x = 10,685.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.