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Finding the Fourth Proportional to 6,321.78, 8,724.92 and 4,747.14

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Solution

The fourth proportional to 6,321.78, 8,724.92 and 4,747.14 is: 6,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.78 : 8,724.92 = 4,747.14 : x
  2. Step 2: Convert to fraction form
    6,321.78/8,724.92 = 4,747.14/x
  3. Step 3: Cross multiply
    6,321.78x = 8,724.92 × 4,747.14
  4. Step 4: Simplify right side
    6,321.78x = 41,418,392.99
  5. Step 5: Solve for x
    x = 41,418,392.99/6,321.78
  6. Step 6: Final answer
    x = 6,551.70

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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.