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Finding the Fourth Proportional to 2,580.25, 3,870.33 and 825.24

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Solution

The fourth proportional to 2,580.25, 3,870.33 and 825.24 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.25 : 3,870.33 = 825.24 : x
  2. Step 2: Convert to fraction form
    2,580.25/3,870.33 = 825.24/x
  3. Step 3: Cross multiply
    2,580.25x = 3,870.33 × 825.24
  4. Step 4: Simplify right side
    2,580.25x = 3,193,951.13
  5. Step 5: Solve for x
    x = 3,193,951.13/2,580.25
  6. Step 6: Final answer
    x = 1,237.85

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1.5x scale

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.