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Finding the Fourth Proportional to 2,775.78, 4,164.30 and 827.91

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Solution

The fourth proportional to 2,775.78, 4,164.30 and 827.91 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 4,164.30 = 827.91 : x
  2. Step 2: Convert to fraction form
    2,775.78/4,164.30 = 827.91/x
  3. Step 3: Cross multiply
    2,775.78x = 4,164.30 × 827.91
  4. Step 4: Simplify right side
    2,775.78x = 3,447,665.61
  5. Step 5: Solve for x
    x = 3,447,665.61/2,775.78
  6. Step 6: Final answer
    x = 1,242.05

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