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Finding the Fourth Proportional to 2,778.70, 4,167.50 and 804.56

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Solution

The fourth proportional to 2,778.70, 4,167.50 and 804.56 is: 1,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.70 : 4,167.50 = 804.56 : x
  2. Step 2: Convert to fraction form
    2,778.70/4,167.50 = 804.56/x
  3. Step 3: Cross multiply
    2,778.70x = 4,167.50 × 804.56
  4. Step 4: Simplify right side
    2,778.70x = 3,353,003.80
  5. Step 5: Solve for x
    x = 3,353,003.80/2,778.70
  6. Step 6: Final answer
    x = 1,206.68

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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.