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Finding the Fourth Proportional to 3,281.76, 4,921.20 and 1,432.80

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Solution

The fourth proportional to 3,281.76, 4,921.20 and 1,432.80 is: 2,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,921.20 = 1,432.80 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,921.20 = 1,432.80/x
  3. Step 3: Cross multiply
    3,281.76x = 4,921.20 × 1,432.80
  4. Step 4: Simplify right side
    3,281.76x = 7,051,095.36
  5. Step 5: Solve for x
    x = 7,051,095.36/3,281.76
  6. Step 6: Final answer
    x = 2,148.57

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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.