Home / 1,166.88-1,753.92-1,109.28

Finding the Fourth Proportional to 1,166.88, 1,753.92 and 1,109.28

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Solution

The fourth proportional to 1,166.88, 1,753.92 and 1,109.28 is: 1,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.88 : 1,753.92 = 1,109.28 : x
  2. Step 2: Convert to fraction form
    1,166.88/1,753.92 = 1,109.28/x
  3. Step 3: Cross multiply
    1,166.88x = 1,753.92 × 1,109.28
  4. Step 4: Simplify right side
    1,166.88x = 1,945,588.38
  5. Step 5: Solve for x
    x = 1,945,588.38/1,166.88
  6. Step 6: Final answer
    x = 1,667.34

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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.