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Finding the Fourth Proportional to 2,147.59, 3,221.61 and 587.71

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Solution

The fourth proportional to 2,147.59, 3,221.61 and 587.71 is: 881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.59 : 3,221.61 = 587.71 : x
  2. Step 2: Convert to fraction form
    2,147.59/3,221.61 = 587.71/x
  3. Step 3: Cross multiply
    2,147.59x = 3,221.61 × 587.71
  4. Step 4: Simplify right side
    2,147.59x = 1,893,372.41
  5. Step 5: Solve for x
    x = 1,893,372.41/2,147.59
  6. Step 6: Final answer
    x = 881.63

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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.