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Finding the Fourth Proportional to 24,287.40, 36,421.05 and 8,489.10

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Solution

The fourth proportional to 24,287.40, 36,421.05 and 8,489.10 is: 12,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.40 : 36,421.05 = 8,489.10 : x
  2. Step 2: Convert to fraction form
    24,287.40/36,421.05 = 8,489.10/x
  3. Step 3: Cross multiply
    24,287.40x = 36,421.05 × 8,489.10
  4. Step 4: Simplify right side
    24,287.40x = 309,181,935.56
  5. Step 5: Solve for x
    x = 309,181,935.56/24,287.40
  6. Step 6: Final answer
    x = 12,730.14

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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.