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Finding the Fourth Proportional to 8,442.50, 12,663.76 and 2,286.50

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Solution

The fourth proportional to 8,442.50, 12,663.76 and 2,286.50 is: 3,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.50 : 12,663.76 = 2,286.50 : x
  2. Step 2: Convert to fraction form
    8,442.50/12,663.76 = 2,286.50/x
  3. Step 3: Cross multiply
    8,442.50x = 12,663.76 × 2,286.50
  4. Step 4: Simplify right side
    8,442.50x = 28,955,687.24
  5. Step 5: Solve for x
    x = 28,955,687.24/8,442.50
  6. Step 6: Final answer
    x = 3,429.75

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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.