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Finding the Fourth Proportional to 2,560.61, 3,832.72 and 1,819.77

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Solution

The fourth proportional to 2,560.61, 3,832.72 and 1,819.77 is: 2,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.61 : 3,832.72 = 1,819.77 : x
  2. Step 2: Convert to fraction form
    2,560.61/3,832.72 = 1,819.77/x
  3. Step 3: Cross multiply
    2,560.61x = 3,832.72 × 1,819.77
  4. Step 4: Simplify right side
    2,560.61x = 6,974,649.95
  5. Step 5: Solve for x
    x = 6,974,649.95/2,560.61
  6. Step 6: Final answer
    x = 2,723.82

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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.