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Finding the Fourth Proportional to 3,281.47, 4,922.20 and 1,200.57

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Solution

The fourth proportional to 3,281.47, 4,922.20 and 1,200.57 is: 1,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.47 : 4,922.20 = 1,200.57 : x
  2. Step 2: Convert to fraction form
    3,281.47/4,922.20 = 1,200.57/x
  3. Step 3: Cross multiply
    3,281.47x = 4,922.20 × 1,200.57
  4. Step 4: Simplify right side
    3,281.47x = 5,909,445.65
  5. Step 5: Solve for x
    x = 5,909,445.65/3,281.47
  6. Step 6: Final answer
    x = 1,800.86

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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.