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Finding the Fourth Proportional to 2,852.12, 4,278.24 and 850.61

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Solution

The fourth proportional to 2,852.12, 4,278.24 and 850.61 is: 1,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.12 : 4,278.24 = 850.61 : x
  2. Step 2: Convert to fraction form
    2,852.12/4,278.24 = 850.61/x
  3. Step 3: Cross multiply
    2,852.12x = 4,278.24 × 850.61
  4. Step 4: Simplify right side
    2,852.12x = 3,639,092.34
  5. Step 5: Solve for x
    x = 3,639,092.34/2,852.12
  6. Step 6: Final answer
    x = 1,275.93

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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.