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Finding the Fourth Proportional to 7,115.81, 9,820.24 and 3,972.20

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Solution

The fourth proportional to 7,115.81, 9,820.24 and 3,972.20 is: 5,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.81 : 9,820.24 = 3,972.20 : x
  2. Step 2: Convert to fraction form
    7,115.81/9,820.24 = 3,972.20/x
  3. Step 3: Cross multiply
    7,115.81x = 9,820.24 × 3,972.20
  4. Step 4: Simplify right side
    7,115.81x = 39,007,898.30
  5. Step 5: Solve for x
    x = 39,007,898.30/7,115.81
  6. Step 6: Final answer
    x = 5,481.87

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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.