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Finding the Fourth Proportional to 6,381.64, 8,806.85 and 3,864.21

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Solution

The fourth proportional to 6,381.64, 8,806.85 and 3,864.21 is: 5,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.64 : 8,806.85 = 3,864.21 : x
  2. Step 2: Convert to fraction form
    6,381.64/8,806.85 = 3,864.21/x
  3. Step 3: Cross multiply
    6,381.64x = 8,806.85 × 3,864.21
  4. Step 4: Simplify right side
    6,381.64x = 34,031,517.84
  5. Step 5: Solve for x
    x = 34,031,517.84/6,381.64
  6. Step 6: Final answer
    x = 5,332.72

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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.