Home / 1,280.14-1,767.45-861.12

Finding the Fourth Proportional to 1,280.14, 1,767.45 and 861.12

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Solution

The fourth proportional to 1,280.14, 1,767.45 and 861.12 is: 1,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.14 : 1,767.45 = 861.12 : x
  2. Step 2: Convert to fraction form
    1,280.14/1,767.45 = 861.12/x
  3. Step 3: Cross multiply
    1,280.14x = 1,767.45 × 861.12
  4. Step 4: Simplify right side
    1,280.14x = 1,521,986.54
  5. Step 5: Solve for x
    x = 1,521,986.54/1,280.14
  6. Step 6: Final answer
    x = 1,188.92

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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.