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Finding the Fourth Proportional to 10,520.30, 14,523.28 and 6,542.70

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Solution

The fourth proportional to 10,520.30, 14,523.28 and 6,542.70 is: 9,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.30 : 14,523.28 = 6,542.70 : x
  2. Step 2: Convert to fraction form
    10,520.30/14,523.28 = 6,542.70/x
  3. Step 3: Cross multiply
    10,520.30x = 14,523.28 × 6,542.70
  4. Step 4: Simplify right side
    10,520.30x = 95,021,375.08
  5. Step 5: Solve for x
    x = 95,021,375.08/10,520.30
  6. Step 6: Final answer
    x = 9,032.19

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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.