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Finding the Fourth Proportional to 1,294.06, 1,930.23 and 1,187.92

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Solution

The fourth proportional to 1,294.06, 1,930.23 and 1,187.92 is: 1,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.06 : 1,930.23 = 1,187.92 : x
  2. Step 2: Convert to fraction form
    1,294.06/1,930.23 = 1,187.92/x
  3. Step 3: Cross multiply
    1,294.06x = 1,930.23 × 1,187.92
  4. Step 4: Simplify right side
    1,294.06x = 2,292,958.82
  5. Step 5: Solve for x
    x = 2,292,958.82/1,294.06
  6. Step 6: Final answer
    x = 1,771.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.