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Finding the Fourth Proportional to 13,702.43, 20,549.43 and 7,125.03

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Solution

The fourth proportional to 13,702.43, 20,549.43 and 7,125.03 is: 10,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.43 : 20,549.43 = 7,125.03 : x
  2. Step 2: Convert to fraction form
    13,702.43/20,549.43 = 7,125.03/x
  3. Step 3: Cross multiply
    13,702.43x = 20,549.43 × 7,125.03
  4. Step 4: Simplify right side
    13,702.43x = 146,415,305.23
  5. Step 5: Solve for x
    x = 146,415,305.23/13,702.43
  6. Step 6: Final answer
    x = 10,685.35

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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.