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Finding the Fourth Proportional to 8,482.56, 11,711.76 and 6,489.66

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Solution

The fourth proportional to 8,482.56, 11,711.76 and 6,489.66 is: 8,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.56 : 11,711.76 = 6,489.66 : x
  2. Step 2: Convert to fraction form
    8,482.56/11,711.76 = 6,489.66/x
  3. Step 3: Cross multiply
    8,482.56x = 11,711.76 × 6,489.66
  4. Step 4: Simplify right side
    8,482.56x = 76,005,340.40
  5. Step 5: Solve for x
    x = 76,005,340.40/8,482.56
  6. Step 6: Final answer
    x = 8,960.19

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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.