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Finding the Fourth Proportional to 3,609.76, 5,414 and 1,301.28

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Solution

The fourth proportional to 3,609.76, 5,414 and 1,301.28 is: 1,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.76 : 5,414 = 1,301.28 : x
  2. Step 2: Convert to fraction form
    3,609.76/5,414 = 1,301.28/x
  3. Step 3: Cross multiply
    3,609.76x = 5,414 × 1,301.28
  4. Step 4: Simplify right side
    3,609.76x = 7,045,129.92
  5. Step 5: Solve for x
    x = 7,045,129.92/3,609.76
  6. Step 6: Final answer
    x = 1,951.69

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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.