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Finding the Fourth Proportional to 3,281.14, 4,922.52 and 972.64

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Solution

The fourth proportional to 3,281.14, 4,922.52 and 972.64 is: 1,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.14 : 4,922.52 = 972.64 : x
  2. Step 2: Convert to fraction form
    3,281.14/4,922.52 = 972.64/x
  3. Step 3: Cross multiply
    3,281.14x = 4,922.52 × 972.64
  4. Step 4: Simplify right side
    3,281.14x = 4,787,839.85
  5. Step 5: Solve for x
    x = 4,787,839.85/3,281.14
  6. Step 6: Final answer
    x = 1,459.20

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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.