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Finding the Fourth Proportional to 7,381.44, 11,059.68 and 5,815.20

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Solution

The fourth proportional to 7,381.44, 11,059.68 and 5,815.20 is: 8,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.44 : 11,059.68 = 5,815.20 : x
  2. Step 2: Convert to fraction form
    7,381.44/11,059.68 = 5,815.20/x
  3. Step 3: Cross multiply
    7,381.44x = 11,059.68 × 5,815.20
  4. Step 4: Simplify right side
    7,381.44x = 64,314,251.14
  5. Step 5: Solve for x
    x = 64,314,251.14/7,381.44
  6. Step 6: Final answer
    x = 8,712.97

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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.