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Finding the Fourth Proportional to 16,422.60, 24,642.14 and 7,658.20

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Solution

The fourth proportional to 16,422.60, 24,642.14 and 7,658.20 is: 11,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.60 : 24,642.14 = 7,658.20 : x
  2. Step 2: Convert to fraction form
    16,422.60/24,642.14 = 7,658.20/x
  3. Step 3: Cross multiply
    16,422.60x = 24,642.14 × 7,658.20
  4. Step 4: Simplify right side
    16,422.60x = 188,714,436.55
  5. Step 5: Solve for x
    x = 188,714,436.55/16,422.60
  6. Step 6: Final answer
    x = 11,491.14

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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.