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Finding the Fourth Proportional to 6,482.64, 8,946.04 and 3,831

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Solution

The fourth proportional to 6,482.64, 8,946.04 and 3,831 is: 5,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.64 : 8,946.04 = 3,831 : x
  2. Step 2: Convert to fraction form
    6,482.64/8,946.04 = 3,831/x
  3. Step 3: Cross multiply
    6,482.64x = 8,946.04 × 3,831
  4. Step 4: Simplify right side
    6,482.64x = 34,272,279.24
  5. Step 5: Solve for x
    x = 34,272,279.24/6,482.64
  6. Step 6: Final answer
    x = 5,286.78

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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.