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Finding the Fourth Proportional to 2,877.20, 4,315.48 and 825.20

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Solution

The fourth proportional to 2,877.20, 4,315.48 and 825.20 is: 1,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.20 : 4,315.48 = 825.20 : x
  2. Step 2: Convert to fraction form
    2,877.20/4,315.48 = 825.20/x
  3. Step 3: Cross multiply
    2,877.20x = 4,315.48 × 825.20
  4. Step 4: Simplify right side
    2,877.20x = 3,561,134.10
  5. Step 5: Solve for x
    x = 3,561,134.10/2,877.20
  6. Step 6: Final answer
    x = 1,237.71

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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.