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Finding the Fourth Proportional to 6,396.32, 8,823.12 and 3,908

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Solution

The fourth proportional to 6,396.32, 8,823.12 and 3,908 is: 5,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.32 : 8,823.12 = 3,908 : x
  2. Step 2: Convert to fraction form
    6,396.32/8,823.12 = 3,908/x
  3. Step 3: Cross multiply
    6,396.32x = 8,823.12 × 3,908
  4. Step 4: Simplify right side
    6,396.32x = 34,480,752.96
  5. Step 5: Solve for x
    x = 34,480,752.96/6,396.32
  6. Step 6: Final answer
    x = 5,390.72

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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.