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Finding the Fourth Proportional to 3,691.64, 5,538.02 and 1,319.54

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Solution

The fourth proportional to 3,691.64, 5,538.02 and 1,319.54 is: 1,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.64 : 5,538.02 = 1,319.54 : x
  2. Step 2: Convert to fraction form
    3,691.64/5,538.02 = 1,319.54/x
  3. Step 3: Cross multiply
    3,691.64x = 5,538.02 × 1,319.54
  4. Step 4: Simplify right side
    3,691.64x = 7,307,638.91
  5. Step 5: Solve for x
    x = 7,307,638.91/3,691.64
  6. Step 6: Final answer
    x = 1,979.51

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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.