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Finding the Fourth Proportional to 3,920.52, 5,880.72 and 1,325.28

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Solution

The fourth proportional to 3,920.52, 5,880.72 and 1,325.28 is: 1,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.52 : 5,880.72 = 1,325.28 : x
  2. Step 2: Convert to fraction form
    3,920.52/5,880.72 = 1,325.28/x
  3. Step 3: Cross multiply
    3,920.52x = 5,880.72 × 1,325.28
  4. Step 4: Simplify right side
    3,920.52x = 7,793,600.60
  5. Step 5: Solve for x
    x = 7,793,600.60/3,920.52
  6. Step 6: Final answer
    x = 1,987.90

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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.