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Finding the Fourth Proportional to 5,330.32, 7,994.11 and 1,581.22

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Solution

The fourth proportional to 5,330.32, 7,994.11 and 1,581.22 is: 2,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.32 : 7,994.11 = 1,581.22 : x
  2. Step 2: Convert to fraction form
    5,330.32/7,994.11 = 1,581.22/x
  3. Step 3: Cross multiply
    5,330.32x = 7,994.11 × 1,581.22
  4. Step 4: Simplify right side
    5,330.32x = 12,640,446.61
  5. Step 5: Solve for x
    x = 12,640,446.61/5,330.32
  6. Step 6: Final answer
    x = 2,371.42

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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.