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Finding the Fourth Proportional to 28,572.33, 42,861.31 and 9,849.90

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Solution

The fourth proportional to 28,572.33, 42,861.31 and 9,849.90 is: 14,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572.33 : 42,861.31 = 9,849.90 : x
  2. Step 2: Convert to fraction form
    28,572.33/42,861.31 = 9,849.90/x
  3. Step 3: Cross multiply
    28,572.33x = 42,861.31 × 9,849.90
  4. Step 4: Simplify right side
    28,572.33x = 422,179,592.74
  5. Step 5: Solve for x
    x = 422,179,592.74/28,572.33
  6. Step 6: Final answer
    x = 14,775.82

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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.