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Finding the Fourth Proportional to 5,419.74, 7,480.10 and 3,927.12

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Solution

The fourth proportional to 5,419.74, 7,480.10 and 3,927.12 is: 5,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.74 : 7,480.10 = 3,927.12 : x
  2. Step 2: Convert to fraction form
    5,419.74/7,480.10 = 3,927.12/x
  3. Step 3: Cross multiply
    5,419.74x = 7,480.10 × 3,927.12
  4. Step 4: Simplify right side
    5,419.74x = 29,375,209.99
  5. Step 5: Solve for x
    x = 29,375,209.99/5,419.74
  6. Step 6: Final answer
    x = 5,420.04

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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.