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Finding the Fourth Proportional to 21,542.40, 32,314.68 and 7,691.40

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Solution

The fourth proportional to 21,542.40, 32,314.68 and 7,691.40 is: 11,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.40 : 32,314.68 = 7,691.40 : x
  2. Step 2: Convert to fraction form
    21,542.40/32,314.68 = 7,691.40/x
  3. Step 3: Cross multiply
    21,542.40x = 32,314.68 × 7,691.40
  4. Step 4: Simplify right side
    21,542.40x = 248,545,129.75
  5. Step 5: Solve for x
    x = 248,545,129.75/21,542.40
  6. Step 6: Final answer
    x = 11,537.49

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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.