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Finding the Fourth Proportional to 2,281.01, 3,421.50 and 1,761.76

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Solution

The fourth proportional to 2,281.01, 3,421.50 and 1,761.76 is: 2,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.01 : 3,421.50 = 1,761.76 : x
  2. Step 2: Convert to fraction form
    2,281.01/3,421.50 = 1,761.76/x
  3. Step 3: Cross multiply
    2,281.01x = 3,421.50 × 1,761.76
  4. Step 4: Simplify right side
    2,281.01x = 6,027,853.29
  5. Step 5: Solve for x
    x = 6,027,853.29/2,281.01
  6. Step 6: Final answer
    x = 2,642.63

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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.