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Finding the Fourth Proportional to 28,642.74, 42,981.12 and 15,494.82

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Solution

The fourth proportional to 28,642.74, 42,981.12 and 15,494.82 is: 23,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642.74 : 42,981.12 = 15,494.82 : x
  2. Step 2: Convert to fraction form
    28,642.74/42,981.12 = 15,494.82/x
  3. Step 3: Cross multiply
    28,642.74x = 42,981.12 × 15,494.82
  4. Step 4: Simplify right side
    28,642.74x = 665,984,717.80
  5. Step 5: Solve for x
    x = 665,984,717.80/28,642.74
  6. Step 6: Final answer
    x = 23,251.43

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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.