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Finding the Fourth Proportional to 28,374.52, 42,581.20 and 9,906.52

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Solution

The fourth proportional to 28,374.52, 42,581.20 and 9,906.52 is: 14,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,374.52 : 42,581.20 = 9,906.52 : x
  2. Step 2: Convert to fraction form
    28,374.52/42,581.20 = 9,906.52/x
  3. Step 3: Cross multiply
    28,374.52x = 42,581.20 × 9,906.52
  4. Step 4: Simplify right side
    28,374.52x = 421,831,509.42
  5. Step 5: Solve for x
    x = 421,831,509.42/28,374.52
  6. Step 6: Final answer
    x = 14,866.56

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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.