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Finding the Fourth Proportional to 2,778.68, 4,167.66 and 726.68

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Solution

The fourth proportional to 2,778.68, 4,167.66 and 726.68 is: 1,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.68 : 4,167.66 = 726.68 : x
  2. Step 2: Convert to fraction form
    2,778.68/4,167.66 = 726.68/x
  3. Step 3: Cross multiply
    2,778.68x = 4,167.66 × 726.68
  4. Step 4: Simplify right side
    2,778.68x = 3,028,555.17
  5. Step 5: Solve for x
    x = 3,028,555.17/2,778.68
  6. Step 6: Final answer
    x = 1,089.93

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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.