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Finding the Fourth Proportional to 2,177.91, 3,005.91 and 1,391.94

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Solution

The fourth proportional to 2,177.91, 3,005.91 and 1,391.94 is: 1,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.91 : 3,005.91 = 1,391.94 : x
  2. Step 2: Convert to fraction form
    2,177.91/3,005.91 = 1,391.94/x
  3. Step 3: Cross multiply
    2,177.91x = 3,005.91 × 1,391.94
  4. Step 4: Simplify right side
    2,177.91x = 4,184,046.37
  5. Step 5: Solve for x
    x = 4,184,046.37/2,177.91
  6. Step 6: Final answer
    x = 1,921.13

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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.