Home / 1,107.12-1,663.38-966.18

Finding the Fourth Proportional to 1,107.12, 1,663.38 and 966.18

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Solution

The fourth proportional to 1,107.12, 1,663.38 and 966.18 is: 1,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.12 : 1,663.38 = 966.18 : x
  2. Step 2: Convert to fraction form
    1,107.12/1,663.38 = 966.18/x
  3. Step 3: Cross multiply
    1,107.12x = 1,663.38 × 966.18
  4. Step 4: Simplify right side
    1,107.12x = 1,607,124.49
  5. Step 5: Solve for x
    x = 1,607,124.49/1,107.12
  6. Step 6: Final answer
    x = 1,451.63

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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.