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Finding the Fourth Proportional to 5,618.48, 7,757.12 and 5,028

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Solution

The fourth proportional to 5,618.48, 7,757.12 and 5,028 is: 6,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.48 : 7,757.12 = 5,028 : x
  2. Step 2: Convert to fraction form
    5,618.48/7,757.12 = 5,028/x
  3. Step 3: Cross multiply
    5,618.48x = 7,757.12 × 5,028
  4. Step 4: Simplify right side
    5,618.48x = 39,002,799.36
  5. Step 5: Solve for x
    x = 39,002,799.36/5,618.48
  6. Step 6: Final answer
    x = 6,941.88

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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.