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Finding the Fourth Proportional to 7,672.65, 11,489.54 and 4,205.85

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Solution

The fourth proportional to 7,672.65, 11,489.54 and 4,205.85 is: 6,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.65 : 11,489.54 = 4,205.85 : x
  2. Step 2: Convert to fraction form
    7,672.65/11,489.54 = 4,205.85/x
  3. Step 3: Cross multiply
    7,672.65x = 11,489.54 × 4,205.85
  4. Step 4: Simplify right side
    7,672.65x = 48,323,260.78
  5. Step 5: Solve for x
    x = 48,323,260.78/7,672.65
  6. Step 6: Final answer
    x = 6,298.12

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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.