Home / 2,385.08-3,577.78-825.24

Finding the Fourth Proportional to 2,385.08, 3,577.78 and 825.24

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Solution

The fourth proportional to 2,385.08, 3,577.78 and 825.24 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.08 : 3,577.78 = 825.24 : x
  2. Step 2: Convert to fraction form
    2,385.08/3,577.78 = 825.24/x
  3. Step 3: Cross multiply
    2,385.08x = 3,577.78 × 825.24
  4. Step 4: Simplify right side
    2,385.08x = 2,952,527.17
  5. Step 5: Solve for x
    x = 2,952,527.17/2,385.08
  6. Step 6: Final answer
    x = 1,237.92

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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.