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Finding the Fourth Proportional to 3,131.53, 4,691.01 and 1,489.66

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Solution

The fourth proportional to 3,131.53, 4,691.01 and 1,489.66 is: 2,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.53 : 4,691.01 = 1,489.66 : x
  2. Step 2: Convert to fraction form
    3,131.53/4,691.01 = 1,489.66/x
  3. Step 3: Cross multiply
    3,131.53x = 4,691.01 × 1,489.66
  4. Step 4: Simplify right side
    3,131.53x = 6,988,009.96
  5. Step 5: Solve for x
    x = 6,988,009.96/3,131.53
  6. Step 6: Final answer
    x = 2,231.50

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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.