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Finding the Fourth Proportional to 2,726.35, 4,089.54 and 778.57

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Solution

The fourth proportional to 2,726.35, 4,089.54 and 778.57 is: 1,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.35 : 4,089.54 = 778.57 : x
  2. Step 2: Convert to fraction form
    2,726.35/4,089.54 = 778.57/x
  3. Step 3: Cross multiply
    2,726.35x = 4,089.54 × 778.57
  4. Step 4: Simplify right side
    2,726.35x = 3,183,993.16
  5. Step 5: Solve for x
    x = 3,183,993.16/2,726.35
  6. Step 6: Final answer
    x = 1,167.86

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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.