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Finding the Fourth Proportional to 3,894.66, 5,373.66 and 2,215.74

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Solution

The fourth proportional to 3,894.66, 5,373.66 and 2,215.74 is: 3,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.66 : 5,373.66 = 2,215.74 : x
  2. Step 2: Convert to fraction form
    3,894.66/5,373.66 = 2,215.74/x
  3. Step 3: Cross multiply
    3,894.66x = 5,373.66 × 2,215.74
  4. Step 4: Simplify right side
    3,894.66x = 11,906,633.41
  5. Step 5: Solve for x
    x = 11,906,633.41/3,894.66
  6. Step 6: Final answer
    x = 3,057.17

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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.