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Finding the Fourth Proportional to 27,875.84, 41,815.92 and 12,081.92

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Solution

The fourth proportional to 27,875.84, 41,815.92 and 12,081.92 is: 18,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.84 : 41,815.92 = 12,081.92 : x
  2. Step 2: Convert to fraction form
    27,875.84/41,815.92 = 12,081.92/x
  3. Step 3: Cross multiply
    27,875.84x = 41,815.92 × 12,081.92
  4. Step 4: Simplify right side
    27,875.84x = 505,216,600.17
  5. Step 5: Solve for x
    x = 505,216,600.17/27,875.84
  6. Step 6: Final answer
    x = 18,123.82

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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.