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Finding the Fourth Proportional to 6,471.28, 8,933.28 and 4,233.20

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Solution

The fourth proportional to 6,471.28, 8,933.28 and 4,233.20 is: 5,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.28 : 8,933.28 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    6,471.28/8,933.28 = 4,233.20/x
  3. Step 3: Cross multiply
    6,471.28x = 8,933.28 × 4,233.20
  4. Step 4: Simplify right side
    6,471.28x = 37,816,360.90
  5. Step 5: Solve for x
    x = 37,816,360.90/6,471.28
  6. Step 6: Final answer
    x = 5,843.72

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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.