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Finding the Fourth Proportional to 3,254.65, 4,881.93 and 789.49

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Solution

The fourth proportional to 3,254.65, 4,881.93 and 789.49 is: 1,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.65 : 4,881.93 = 789.49 : x
  2. Step 2: Convert to fraction form
    3,254.65/4,881.93 = 789.49/x
  3. Step 3: Cross multiply
    3,254.65x = 4,881.93 × 789.49
  4. Step 4: Simplify right side
    3,254.65x = 3,854,234.92
  5. Step 5: Solve for x
    x = 3,854,234.92/3,254.65
  6. Step 6: Final answer
    x = 1,184.22

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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.