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Finding the Fourth Proportional to 27,877.79, 41,819.64 and 8,156.45

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Solution

The fourth proportional to 27,877.79, 41,819.64 and 8,156.45 is: 12,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.79 : 41,819.64 = 8,156.45 : x
  2. Step 2: Convert to fraction form
    27,877.79/41,819.64 = 8,156.45/x
  3. Step 3: Cross multiply
    27,877.79x = 41,819.64 × 8,156.45
  4. Step 4: Simplify right side
    27,877.79x = 341,099,593.58
  5. Step 5: Solve for x
    x = 341,099,593.58/27,877.79
  6. Step 6: Final answer
    x = 12,235.53

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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.