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Finding the Fourth Proportional to 3,158.43, 4,738.64 and 1,310.42

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Solution

The fourth proportional to 3,158.43, 4,738.64 and 1,310.42 is: 1,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.43 : 4,738.64 = 1,310.42 : x
  2. Step 2: Convert to fraction form
    3,158.43/4,738.64 = 1,310.42/x
  3. Step 3: Cross multiply
    3,158.43x = 4,738.64 × 1,310.42
  4. Step 4: Simplify right side
    3,158.43x = 6,209,608.63
  5. Step 5: Solve for x
    x = 6,209,608.63/3,158.43
  6. Step 6: Final answer
    x = 1,966.04

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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.