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Finding the Fourth Proportional to 3,254.77, 4,882.15 and 789.57

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Solution

The fourth proportional to 3,254.77, 4,882.15 and 789.57 is: 1,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.77 : 4,882.15 = 789.57 : x
  2. Step 2: Convert to fraction form
    3,254.77/4,882.15 = 789.57/x
  3. Step 3: Cross multiply
    3,254.77x = 4,882.15 × 789.57
  4. Step 4: Simplify right side
    3,254.77x = 3,854,774.76
  5. Step 5: Solve for x
    x = 3,854,774.76/3,254.77
  6. Step 6: Final answer
    x = 1,184.35

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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.