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Finding the Fourth Proportional to 3,487.60, 5,230.17 and 1,021.78

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Solution

The fourth proportional to 3,487.60, 5,230.17 and 1,021.78 is: 1,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.60 : 5,230.17 = 1,021.78 : x
  2. Step 2: Convert to fraction form
    3,487.60/5,230.17 = 1,021.78/x
  3. Step 3: Cross multiply
    3,487.60x = 5,230.17 × 1,021.78
  4. Step 4: Simplify right side
    3,487.60x = 5,344,083.10
  5. Step 5: Solve for x
    x = 5,344,083.10/3,487.60
  6. Step 6: Final answer
    x = 1,532.31

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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.