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Finding the Fourth Proportional to 2,030.75, 3,047.03 and 861.62

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Solution

The fourth proportional to 2,030.75, 3,047.03 and 861.62 is: 1,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.75 : 3,047.03 = 861.62 : x
  2. Step 2: Convert to fraction form
    2,030.75/3,047.03 = 861.62/x
  3. Step 3: Cross multiply
    2,030.75x = 3,047.03 × 861.62
  4. Step 4: Simplify right side
    2,030.75x = 2,625,365.68
  5. Step 5: Solve for x
    x = 2,625,365.68/2,030.75
  6. Step 6: Final answer
    x = 1,292.81

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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.