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Finding the Fourth Proportional to 6,481.72, 8,952.12 and 4,382.20

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Solution

The fourth proportional to 6,481.72, 8,952.12 and 4,382.20 is: 6,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.72 : 8,952.12 = 4,382.20 : x
  2. Step 2: Convert to fraction form
    6,481.72/8,952.12 = 4,382.20/x
  3. Step 3: Cross multiply
    6,481.72x = 8,952.12 × 4,382.20
  4. Step 4: Simplify right side
    6,481.72x = 39,229,980.26
  5. Step 5: Solve for x
    x = 39,229,980.26/6,481.72
  6. Step 6: Final answer
    x = 6,052.40

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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.