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Finding the Fourth Proportional to 7,471.62, 11,185.80 and 5,630.48

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Solution

The fourth proportional to 7,471.62, 11,185.80 and 5,630.48 is: 8,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.62 : 11,185.80 = 5,630.48 : x
  2. Step 2: Convert to fraction form
    7,471.62/11,185.80 = 5,630.48/x
  3. Step 3: Cross multiply
    7,471.62x = 11,185.80 × 5,630.48
  4. Step 4: Simplify right side
    7,471.62x = 62,981,423.18
  5. Step 5: Solve for x
    x = 62,981,423.18/7,471.62
  6. Step 6: Final answer
    x = 8,429.42

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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.