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Finding the Fourth Proportional to 7,882.32, 11,823.46 and 7,401.18

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Solution

The fourth proportional to 7,882.32, 11,823.46 and 7,401.18 is: 11,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.32 : 11,823.46 = 7,401.18 : x
  2. Step 2: Convert to fraction form
    7,882.32/11,823.46 = 7,401.18/x
  3. Step 3: Cross multiply
    7,882.32x = 11,823.46 × 7,401.18
  4. Step 4: Simplify right side
    7,882.32x = 87,507,555.68
  5. Step 5: Solve for x
    x = 87,507,555.68/7,882.32
  6. Step 6: Final answer
    x = 11,101.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.