Home / 1,311.67-1,809.57-961.75

Finding the Fourth Proportional to 1,311.67, 1,809.57 and 961.75

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Solution

The fourth proportional to 1,311.67, 1,809.57 and 961.75 is: 1,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.67 : 1,809.57 = 961.75 : x
  2. Step 2: Convert to fraction form
    1,311.67/1,809.57 = 961.75/x
  3. Step 3: Cross multiply
    1,311.67x = 1,809.57 × 961.75
  4. Step 4: Simplify right side
    1,311.67x = 1,740,353.95
  5. Step 5: Solve for x
    x = 1,740,353.95/1,311.67
  6. Step 6: Final answer
    x = 1,326.82

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1.5x scale

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.