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Finding the Fourth Proportional to 3,868.75, 5,333.89 and 3,159.84

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Solution

The fourth proportional to 3,868.75, 5,333.89 and 3,159.84 is: 4,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.75 : 5,333.89 = 3,159.84 : x
  2. Step 2: Convert to fraction form
    3,868.75/5,333.89 = 3,159.84/x
  3. Step 3: Cross multiply
    3,868.75x = 5,333.89 × 3,159.84
  4. Step 4: Simplify right side
    3,868.75x = 16,854,238.98
  5. Step 5: Solve for x
    x = 16,854,238.98/3,868.75
  6. Step 6: Final answer
    x = 4,356.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.