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Finding the Fourth Proportional to 2,811.75, 4,218 and 962.34

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Solution

The fourth proportional to 2,811.75, 4,218 and 962.34 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.75 : 4,218 = 962.34 : x
  2. Step 2: Convert to fraction form
    2,811.75/4,218 = 962.34/x
  3. Step 3: Cross multiply
    2,811.75x = 4,218 × 962.34
  4. Step 4: Simplify right side
    2,811.75x = 4,059,150.12
  5. Step 5: Solve for x
    x = 4,059,150.12/2,811.75
  6. Step 6: Final answer
    x = 1,443.64

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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.