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Finding the Fourth Proportional to 2,231.20, 3,347 and 587.72

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Solution

The fourth proportional to 2,231.20, 3,347 and 587.72 is: 881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.20 : 3,347 = 587.72 : x
  2. Step 2: Convert to fraction form
    2,231.20/3,347 = 587.72/x
  3. Step 3: Cross multiply
    2,231.20x = 3,347 × 587.72
  4. Step 4: Simplify right side
    2,231.20x = 1,967,098.84
  5. Step 5: Solve for x
    x = 1,967,098.84/2,231.20
  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.