Home / 1,311.80-1,965.26-1,166.00

Finding the Fourth Proportional to 1,311.80, 1,965.26 and 1,166.00

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Solution

The fourth proportional to 1,311.80, 1,965.26 and 1,166.00 is: 1,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.80 : 1,965.26 = 1,166.00 : x
  2. Step 2: Convert to fraction form
    1,311.80/1,965.26 = 1,166.00/x
  3. Step 3: Cross multiply
    1,311.80x = 1,965.26 × 1,166.00
  4. Step 4: Simplify right side
    1,311.80x = 2,291,486.25
  5. Step 5: Solve for x
    x = 2,291,486.25/1,311.80
  6. Step 6: Final answer
    x = 1,746.83

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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.