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Finding the Fourth Proportional to 2,774.16, 4,159.68 and 825.84

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Solution

The fourth proportional to 2,774.16, 4,159.68 and 825.84 is: 1,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.16 : 4,159.68 = 825.84 : x
  2. Step 2: Convert to fraction form
    2,774.16/4,159.68 = 825.84/x
  3. Step 3: Cross multiply
    2,774.16x = 4,159.68 × 825.84
  4. Step 4: Simplify right side
    2,774.16x = 3,435,230.13
  5. Step 5: Solve for x
    x = 3,435,230.13/2,774.16
  6. Step 6: Final answer
    x = 1,238.30

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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.