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Finding the Fourth Proportional to 2,778.22, 4,167.67 and 930.66

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Solution

The fourth proportional to 2,778.22, 4,167.67 and 930.66 is: 1,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.22 : 4,167.67 = 930.66 : x
  2. Step 2: Convert to fraction form
    2,778.22/4,167.67 = 930.66/x
  3. Step 3: Cross multiply
    2,778.22x = 4,167.67 × 930.66
  4. Step 4: Simplify right side
    2,778.22x = 3,878,683.76
  5. Step 5: Solve for x
    x = 3,878,683.76/2,778.22
  6. Step 6: Final answer
    x = 1,396.10

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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.