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Finding the Fourth Proportional to 2,726.38, 4,089 and 778.06

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Solution

The fourth proportional to 2,726.38, 4,089 and 778.06 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.38 : 4,089 = 778.06 : x
  2. Step 2: Convert to fraction form
    2,726.38/4,089 = 778.06/x
  3. Step 3: Cross multiply
    2,726.38x = 4,089 × 778.06
  4. Step 4: Simplify right side
    2,726.38x = 3,181,487.34
  5. Step 5: Solve for x
    x = 3,181,487.34/2,726.38
  6. Step 6: Final answer
    x = 1,166.93

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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.