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Finding the Fourth Proportional to 3,016.78, 4,525.07 and 825.46

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Solution

The fourth proportional to 3,016.78, 4,525.07 and 825.46 is: 1,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.78 : 4,525.07 = 825.46 : x
  2. Step 2: Convert to fraction form
    3,016.78/4,525.07 = 825.46/x
  3. Step 3: Cross multiply
    3,016.78x = 4,525.07 × 825.46
  4. Step 4: Simplify right side
    3,016.78x = 3,735,248.84
  5. Step 5: Solve for x
    x = 3,735,248.84/3,016.78
  6. Step 6: Final answer
    x = 1,238.16

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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.