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Finding the Fourth Proportional to 2,836.02, 4,254.63 and 861.80

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Solution

The fourth proportional to 2,836.02, 4,254.63 and 861.80 is: 1,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.02 : 4,254.63 = 861.80 : x
  2. Step 2: Convert to fraction form
    2,836.02/4,254.63 = 861.80/x
  3. Step 3: Cross multiply
    2,836.02x = 4,254.63 × 861.80
  4. Step 4: Simplify right side
    2,836.02x = 3,666,640.13
  5. Step 5: Solve for x
    x = 3,666,640.13/2,836.02
  6. Step 6: Final answer
    x = 1,292.88

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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.