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Finding the Fourth Proportional to 27,876.38, 41,815.85 and 7,887.38

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Solution

The fourth proportional to 27,876.38, 41,815.85 and 7,887.38 is: 11,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.38 : 41,815.85 = 7,887.38 : x
  2. Step 2: Convert to fraction form
    27,876.38/41,815.85 = 7,887.38/x
  3. Step 3: Cross multiply
    27,876.38x = 41,815.85 × 7,887.38
  4. Step 4: Simplify right side
    27,876.38x = 329,817,317.01
  5. Step 5: Solve for x
    x = 329,817,317.01/27,876.38
  6. Step 6: Final answer
    x = 11,831.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.