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Finding the Fourth Proportional to 7,882.88, 11,824.32 and 5,410.19

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Solution

The fourth proportional to 7,882.88, 11,824.32 and 5,410.19 is: 8,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 11,824.32 = 5,410.19 : x
  2. Step 2: Convert to fraction form
    7,882.88/11,824.32 = 5,410.19/x
  3. Step 3: Cross multiply
    7,882.88x = 11,824.32 × 5,410.19
  4. Step 4: Simplify right side
    7,882.88x = 63,971,758.70
  5. Step 5: Solve for x
    x = 63,971,758.70/7,882.88
  6. Step 6: Final answer
    x = 8,115.28

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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.