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Finding the Fourth Proportional to 3,894.52, 5,374.24 and 2,126.08

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Solution

The fourth proportional to 3,894.52, 5,374.24 and 2,126.08 is: 2,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.52 : 5,374.24 = 2,126.08 : x
  2. Step 2: Convert to fraction form
    3,894.52/5,374.24 = 2,126.08/x
  3. Step 3: Cross multiply
    3,894.52x = 5,374.24 × 2,126.08
  4. Step 4: Simplify right side
    3,894.52x = 11,426,064.18
  5. Step 5: Solve for x
    x = 11,426,064.18/3,894.52
  6. Step 6: Final answer
    x = 2,933.88

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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.