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Finding the Fourth Proportional to 3,894.12, 5,374 and 2,125.82

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Solution

The fourth proportional to 3,894.12, 5,374 and 2,125.82 is: 2,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.12 : 5,374 = 2,125.82 : x
  2. Step 2: Convert to fraction form
    3,894.12/5,374 = 2,125.82/x
  3. Step 3: Cross multiply
    3,894.12x = 5,374 × 2,125.82
  4. Step 4: Simplify right side
    3,894.12x = 11,424,156.68
  5. Step 5: Solve for x
    x = 11,424,156.68/3,894.12
  6. Step 6: Final answer
    x = 2,933.69

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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.