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Finding the Fourth Proportional to 3,489.01, 5,233.55 and 1,539.88

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Solution

The fourth proportional to 3,489.01, 5,233.55 and 1,539.88 is: 2,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.01 : 5,233.55 = 1,539.88 : x
  2. Step 2: Convert to fraction form
    3,489.01/5,233.55 = 1,539.88/x
  3. Step 3: Cross multiply
    3,489.01x = 5,233.55 × 1,539.88
  4. Step 4: Simplify right side
    3,489.01x = 8,059,018.19
  5. Step 5: Solve for x
    x = 8,059,018.19/3,489.01
  6. Step 6: Final answer
    x = 2,309.83

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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.