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Finding the Fourth Proportional to 3,488.64, 5,232.96 and 1,148.88

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Solution

The fourth proportional to 3,488.64, 5,232.96 and 1,148.88 is: 1,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.64 : 5,232.96 = 1,148.88 : x
  2. Step 2: Convert to fraction form
    3,488.64/5,232.96 = 1,148.88/x
  3. Step 3: Cross multiply
    3,488.64x = 5,232.96 × 1,148.88
  4. Step 4: Simplify right side
    3,488.64x = 6,012,043.08
  5. Step 5: Solve for x
    x = 6,012,043.08/3,488.64
  6. Step 6: Final answer
    x = 1,723.32

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Similar ratio
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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.