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Finding the Fourth Proportional to 6,472.50, 8,932.79 and 3,639.98

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Solution

The fourth proportional to 6,472.50, 8,932.79 and 3,639.98 is: 5,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.50 : 8,932.79 = 3,639.98 : x
  2. Step 2: Convert to fraction form
    6,472.50/8,932.79 = 3,639.98/x
  3. Step 3: Cross multiply
    6,472.50x = 8,932.79 × 3,639.98
  4. Step 4: Simplify right side
    6,472.50x = 32,515,176.94
  5. Step 5: Solve for x
    x = 32,515,176.94/6,472.50
  6. Step 6: Final answer
    x = 5,023.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.