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Finding the Fourth Proportional to 5,573.28, 7,691.92 and 3,216.80

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Solution

The fourth proportional to 5,573.28, 7,691.92 and 3,216.80 is: 4,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.28 : 7,691.92 = 3,216.80 : x
  2. Step 2: Convert to fraction form
    5,573.28/7,691.92 = 3,216.80/x
  3. Step 3: Cross multiply
    5,573.28x = 7,691.92 × 3,216.80
  4. Step 4: Simplify right side
    5,573.28x = 24,743,368.26
  5. Step 5: Solve for x
    x = 24,743,368.26/5,573.28
  6. Step 6: Final answer
    x = 4,439.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.