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Finding the Fourth Proportional to 2,580.48, 3,871 and 825.62

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Solution

The fourth proportional to 2,580.48, 3,871 and 825.62 is: 1,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.48 : 3,871 = 825.62 : x
  2. Step 2: Convert to fraction form
    2,580.48/3,871 = 825.62/x
  3. Step 3: Cross multiply
    2,580.48x = 3,871 × 825.62
  4. Step 4: Simplify right side
    2,580.48x = 3,195,975.02
  5. Step 5: Solve for x
    x = 3,195,975.02/2,580.48
  6. Step 6: Final answer
    x = 1,238.52

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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.