Home / 1,187.92-1,634.52-1,159.12

Finding the Fourth Proportional to 1,187.92, 1,634.52 and 1,159.12

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Solution

The fourth proportional to 1,187.92, 1,634.52 and 1,159.12 is: 1,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.92 : 1,634.52 = 1,159.12 : x
  2. Step 2: Convert to fraction form
    1,187.92/1,634.52 = 1,159.12/x
  3. Step 3: Cross multiply
    1,187.92x = 1,634.52 × 1,159.12
  4. Step 4: Simplify right side
    1,187.92x = 1,894,604.82
  5. Step 5: Solve for x
    x = 1,894,604.82/1,187.92
  6. Step 6: Final answer
    x = 1,594.89

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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.