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Finding the Fourth Proportional to 2,778.21, 4,167.03 and 830.43

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Solution

The fourth proportional to 2,778.21, 4,167.03 and 830.43 is: 1,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.21 : 4,167.03 = 830.43 : x
  2. Step 2: Convert to fraction form
    2,778.21/4,167.03 = 830.43/x
  3. Step 3: Cross multiply
    2,778.21x = 4,167.03 × 830.43
  4. Step 4: Simplify right side
    2,778.21x = 3,460,426.72
  5. Step 5: Solve for x
    x = 3,460,426.72/2,778.21
  6. Step 6: Final answer
    x = 1,245.56

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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.