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Finding the Fourth Proportional to 28,493.92, 42,731.16 and 10,969.84

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Solution

The fourth proportional to 28,493.92, 42,731.16 and 10,969.84 is: 16,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493.92 : 42,731.16 = 10,969.84 : x
  2. Step 2: Convert to fraction form
    28,493.92/42,731.16 = 10,969.84/x
  3. Step 3: Cross multiply
    28,493.92x = 42,731.16 × 10,969.84
  4. Step 4: Simplify right side
    28,493.92x = 468,753,988.21
  5. Step 5: Solve for x
    x = 468,753,988.21/28,493.92
  6. Step 6: Final answer
    x = 16,451.02

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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.