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Finding the Fourth Proportional to 2,846.67, 4,269.53 and 766.90

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Solution

The fourth proportional to 2,846.67, 4,269.53 and 766.90 is: 1,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.67 : 4,269.53 = 766.90 : x
  2. Step 2: Convert to fraction form
    2,846.67/4,269.53 = 766.90/x
  3. Step 3: Cross multiply
    2,846.67x = 4,269.53 × 766.90
  4. Step 4: Simplify right side
    2,846.67x = 3,274,302.56
  5. Step 5: Solve for x
    x = 3,274,302.56/2,846.67
  6. Step 6: Final answer
    x = 1,150.22

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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.