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Finding the Fourth Proportional to 6,475.20, 8,932.80 and 4,876.80

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Solution

The fourth proportional to 6,475.20, 8,932.80 and 4,876.80 is: 6,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.20 : 8,932.80 = 4,876.80 : x
  2. Step 2: Convert to fraction form
    6,475.20/8,932.80 = 4,876.80/x
  3. Step 3: Cross multiply
    6,475.20x = 8,932.80 × 4,876.80
  4. Step 4: Simplify right side
    6,475.20x = 43,563,479.04
  5. Step 5: Solve for x
    x = 43,563,479.04/6,475.20
  6. Step 6: Final answer
    x = 6,727.74

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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.