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Finding the Fourth Proportional to 4,221.59, 6,332.40 and 2,489

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Solution

The fourth proportional to 4,221.59, 6,332.40 and 2,489 is: 3,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.59 : 6,332.40 = 2,489 : x
  2. Step 2: Convert to fraction form
    4,221.59/6,332.40 = 2,489/x
  3. Step 3: Cross multiply
    4,221.59x = 6,332.40 × 2,489
  4. Step 4: Simplify right side
    4,221.59x = 15,761,343.60
  5. Step 5: Solve for x
    x = 15,761,343.60/4,221.59
  6. Step 6: Final answer
    x = 3,733.51

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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.