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Finding the Fourth Proportional to 3,894.06, 5,373.86 and 2,125.71

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Solution

The fourth proportional to 3,894.06, 5,373.86 and 2,125.71 is: 2,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.06 : 5,373.86 = 2,125.71 : x
  2. Step 2: Convert to fraction form
    3,894.06/5,373.86 = 2,125.71/x
  3. Step 3: Cross multiply
    3,894.06x = 5,373.86 × 2,125.71
  4. Step 4: Simplify right side
    3,894.06x = 11,423,267.94
  5. Step 5: Solve for x
    x = 11,423,267.94/3,894.06
  6. Step 6: Final answer
    x = 2,933.51

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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.