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Finding the Fourth Proportional to 7,227.92, 9,972.24 and 4,242.80

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Solution

The fourth proportional to 7,227.92, 9,972.24 and 4,242.80 is: 5,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.92 : 9,972.24 = 4,242.80 : x
  2. Step 2: Convert to fraction form
    7,227.92/9,972.24 = 4,242.80/x
  3. Step 3: Cross multiply
    7,227.92x = 9,972.24 × 4,242.80
  4. Step 4: Simplify right side
    7,227.92x = 42,310,219.87
  5. Step 5: Solve for x
    x = 42,310,219.87/7,227.92
  6. Step 6: Final answer
    x = 5,853.72

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1.5x scale

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.