Home / 1,282.10-1,767.68-861.80

Finding the Fourth Proportional to 1,282.10, 1,767.68 and 861.80

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Solution

The fourth proportional to 1,282.10, 1,767.68 and 861.80 is: 1,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.10 : 1,767.68 = 861.80 : x
  2. Step 2: Convert to fraction form
    1,282.10/1,767.68 = 861.80/x
  3. Step 3: Cross multiply
    1,282.10x = 1,767.68 × 861.80
  4. Step 4: Simplify right side
    1,282.10x = 1,523,373.48
  5. Step 5: Solve for x
    x = 1,523,373.48/1,282.10
  6. Step 6: Final answer
    x = 1,188.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.