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Finding the Fourth Proportional to 3,171.68, 4,759.12 and 1,440

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Solution

The fourth proportional to 3,171.68, 4,759.12 and 1,440 is: 2,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.68 : 4,759.12 = 1,440 : x
  2. Step 2: Convert to fraction form
    3,171.68/4,759.12 = 1,440/x
  3. Step 3: Cross multiply
    3,171.68x = 4,759.12 × 1,440
  4. Step 4: Simplify right side
    3,171.68x = 6,853,132.80
  5. Step 5: Solve for x
    x = 6,853,132.80/3,171.68
  6. Step 6: Final answer
    x = 2,160.73

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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.