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Finding the Fourth Proportional to 10,442.60, 15,635.10 and 9,924.20

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Solution

The fourth proportional to 10,442.60, 15,635.10 and 9,924.20 is: 14,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.60 : 15,635.10 = 9,924.20 : x
  2. Step 2: Convert to fraction form
    10,442.60/15,635.10 = 9,924.20/x
  3. Step 3: Cross multiply
    10,442.60x = 15,635.10 × 9,924.20
  4. Step 4: Simplify right side
    10,442.60x = 155,165,859.42
  5. Step 5: Solve for x
    x = 155,165,859.42/10,442.60
  6. Step 6: Final answer
    x = 14,858.93

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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.