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Finding the Fourth Proportional to 28,494, 42,740.49 and 10,967.61

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Solution

The fourth proportional to 28,494, 42,740.49 and 10,967.61 is: 16,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494 : 42,740.49 = 10,967.61 : x
  2. Step 2: Convert to fraction form
    28,494/42,740.49 = 10,967.61/x
  3. Step 3: Cross multiply
    28,494x = 42,740.49 × 10,967.61
  4. Step 4: Simplify right side
    28,494x = 468,761,025.53
  5. Step 5: Solve for x
    x = 468,761,025.53/28,494
  6. Step 6: Final answer
    x = 16,451.22

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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.