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Finding the Fourth Proportional to 5,718.80, 7,892.31 and 3,201.20

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Solution

The fourth proportional to 5,718.80, 7,892.31 and 3,201.20 is: 4,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.80 : 7,892.31 = 3,201.20 : x
  2. Step 2: Convert to fraction form
    5,718.80/7,892.31 = 3,201.20/x
  3. Step 3: Cross multiply
    5,718.80x = 7,892.31 × 3,201.20
  4. Step 4: Simplify right side
    5,718.80x = 25,264,862.77
  5. Step 5: Solve for x
    x = 25,264,862.77/5,718.80
  6. Step 6: Final answer
    x = 4,417.86

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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.