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Finding the Fourth Proportional to 2,822.75, 4,234.98 and 948.42

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Solution

The fourth proportional to 2,822.75, 4,234.98 and 948.42 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.75 : 4,234.98 = 948.42 : x
  2. Step 2: Convert to fraction form
    2,822.75/4,234.98 = 948.42/x
  3. Step 3: Cross multiply
    2,822.75x = 4,234.98 × 948.42
  4. Step 4: Simplify right side
    2,822.75x = 4,016,535.29
  5. Step 5: Solve for x
    x = 4,016,535.29/2,822.75
  6. Step 6: Final answer
    x = 1,422.92

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1.5x scale

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.