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Finding the Fourth Proportional to 27,876.83, 41,821.72 and 8,155.76

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Solution

The fourth proportional to 27,876.83, 41,821.72 and 8,155.76 is: 12,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.83 : 41,821.72 = 8,155.76 : x
  2. Step 2: Convert to fraction form
    27,876.83/41,821.72 = 8,155.76/x
  3. Step 3: Cross multiply
    27,876.83x = 41,821.72 × 8,155.76
  4. Step 4: Simplify right side
    27,876.83x = 341,087,681.61
  5. Step 5: Solve for x
    x = 341,087,681.61/27,876.83
  6. Step 6: Final answer
    x = 12,235.53

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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.