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Finding the Fourth Proportional to 5,581.20, 8,373.20 and 2,461.80

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Solution

The fourth proportional to 5,581.20, 8,373.20 and 2,461.80 is: 3,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.20 : 8,373.20 = 2,461.80 : x
  2. Step 2: Convert to fraction form
    5,581.20/8,373.20 = 2,461.80/x
  3. Step 3: Cross multiply
    5,581.20x = 8,373.20 × 2,461.80
  4. Step 4: Simplify right side
    5,581.20x = 20,613,143.76
  5. Step 5: Solve for x
    x = 20,613,143.76/5,581.20
  6. Step 6: Final answer
    x = 3,693.32

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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.