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Finding the Fourth Proportional to 5,719.38, 7,892.36 and 3,201.47

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Solution

The fourth proportional to 5,719.38, 7,892.36 and 3,201.47 is: 4,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.38 : 7,892.36 = 3,201.47 : x
  2. Step 2: Convert to fraction form
    5,719.38/7,892.36 = 3,201.47/x
  3. Step 3: Cross multiply
    5,719.38x = 7,892.36 × 3,201.47
  4. Step 4: Simplify right side
    5,719.38x = 25,267,193.30
  5. Step 5: Solve for x
    x = 25,267,193.30/5,719.38
  6. Step 6: Final answer
    x = 4,417.82

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1.5x scale

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.