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Finding the Fourth Proportional to 3,874, 5,342.50 and 2,988.40

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Solution

The fourth proportional to 3,874, 5,342.50 and 2,988.40 is: 4,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,342.50 = 2,988.40 : x
  2. Step 2: Convert to fraction form
    3,874/5,342.50 = 2,988.40/x
  3. Step 3: Cross multiply
    3,874x = 5,342.50 × 2,988.40
  4. Step 4: Simplify right side
    3,874x = 15,965,527
  5. Step 5: Solve for x
    x = 15,965,527/3,874
  6. Step 6: Final answer
    x = 4,121.20

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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.