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Finding the Fourth Proportional to 3,487.56, 5,230.23 and 1,147.02

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Solution

The fourth proportional to 3,487.56, 5,230.23 and 1,147.02 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.56 : 5,230.23 = 1,147.02 : x
  2. Step 2: Convert to fraction form
    3,487.56/5,230.23 = 1,147.02/x
  3. Step 3: Cross multiply
    3,487.56x = 5,230.23 × 1,147.02
  4. Step 4: Simplify right side
    3,487.56x = 5,999,182.90
  5. Step 5: Solve for x
    x = 5,999,182.90/3,487.56
  6. Step 6: Final answer
    x = 1,720.17

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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.