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Finding the Fourth Proportional to 6,436.80, 8,882.06 and 3,919.02

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Solution

The fourth proportional to 6,436.80, 8,882.06 and 3,919.02 is: 5,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.80 : 8,882.06 = 3,919.02 : x
  2. Step 2: Convert to fraction form
    6,436.80/8,882.06 = 3,919.02/x
  3. Step 3: Cross multiply
    6,436.80x = 8,882.06 × 3,919.02
  4. Step 4: Simplify right side
    6,436.80x = 34,808,917.88
  5. Step 5: Solve for x
    x = 34,808,917.88/6,436.80
  6. Step 6: Final answer
    x = 5,407.80

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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.