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Finding the Fourth Proportional to 28,314.50, 42,472.11 and 9,846.50

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Solution

The fourth proportional to 28,314.50, 42,472.11 and 9,846.50 is: 14,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314.50 : 42,472.11 = 9,846.50 : x
  2. Step 2: Convert to fraction form
    28,314.50/42,472.11 = 9,846.50/x
  3. Step 3: Cross multiply
    28,314.50x = 42,472.11 × 9,846.50
  4. Step 4: Simplify right side
    28,314.50x = 418,201,631.12
  5. Step 5: Solve for x
    x = 418,201,631.12/28,314.50
  6. Step 6: Final answer
    x = 14,769.88

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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.