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Finding the Fourth Proportional to 2,778.57, 4,167.90 and 726.57

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Solution

The fourth proportional to 2,778.57, 4,167.90 and 726.57 is: 1,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.57 : 4,167.90 = 726.57 : x
  2. Step 2: Convert to fraction form
    2,778.57/4,167.90 = 726.57/x
  3. Step 3: Cross multiply
    2,778.57x = 4,167.90 × 726.57
  4. Step 4: Simplify right side
    2,778.57x = 3,028,271.10
  5. Step 5: Solve for x
    x = 3,028,271.10/2,778.57
  6. Step 6: Final answer
    x = 1,089.87

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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.