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Finding the Fourth Proportional to 7,472.71, 11,209.10 and 3,311.61

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Solution

The fourth proportional to 7,472.71, 11,209.10 and 3,311.61 is: 4,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.71 : 11,209.10 = 3,311.61 : x
  2. Step 2: Convert to fraction form
    7,472.71/11,209.10 = 3,311.61/x
  3. Step 3: Cross multiply
    7,472.71x = 11,209.10 × 3,311.61
  4. Step 4: Simplify right side
    7,472.71x = 37,120,167.65
  5. Step 5: Solve for x
    x = 37,120,167.65/7,472.71
  6. Step 6: Final answer
    x = 4,967.43

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1.5x scale

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.