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Finding the Fourth Proportional to 3,943.68, 5,916.42 and 1,170.42

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Solution

The fourth proportional to 3,943.68, 5,916.42 and 1,170.42 is: 1,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.68 : 5,916.42 = 1,170.42 : x
  2. Step 2: Convert to fraction form
    3,943.68/5,916.42 = 1,170.42/x
  3. Step 3: Cross multiply
    3,943.68x = 5,916.42 × 1,170.42
  4. Step 4: Simplify right side
    3,943.68x = 6,924,696.30
  5. Step 5: Solve for x
    x = 6,924,696.30/3,943.68
  6. Step 6: Final answer
    x = 1,755.90

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1.5x scale

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.