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Finding the Fourth Proportional to 3,281.88, 4,922.68 and 1,334.12

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Solution

The fourth proportional to 3,281.88, 4,922.68 and 1,334.12 is: 2,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.88 : 4,922.68 = 1,334.12 : x
  2. Step 2: Convert to fraction form
    3,281.88/4,922.68 = 1,334.12/x
  3. Step 3: Cross multiply
    3,281.88x = 4,922.68 × 1,334.12
  4. Step 4: Simplify right side
    3,281.88x = 6,567,445.84
  5. Step 5: Solve for x
    x = 6,567,445.84/3,281.88
  6. Step 6: Final answer
    x = 2,001.12

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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.