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Finding the Fourth Proportional to 3,894.52, 5,839.08 and 1,429

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Solution

The fourth proportional to 3,894.52, 5,839.08 and 1,429 is: 2,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.52 : 5,839.08 = 1,429 : x
  2. Step 2: Convert to fraction form
    3,894.52/5,839.08 = 1,429/x
  3. Step 3: Cross multiply
    3,894.52x = 5,839.08 × 1,429
  4. Step 4: Simplify right side
    3,894.52x = 8,344,045.32
  5. Step 5: Solve for x
    x = 8,344,045.32/3,894.52
  6. Step 6: Final answer
    x = 2,142.51

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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.