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Finding the Fourth Proportional to 2,822.72, 4,232.84 and 874.46

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Solution

The fourth proportional to 2,822.72, 4,232.84 and 874.46 is: 1,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.72 : 4,232.84 = 874.46 : x
  2. Step 2: Convert to fraction form
    2,822.72/4,232.84 = 874.46/x
  3. Step 3: Cross multiply
    2,822.72x = 4,232.84 × 874.46
  4. Step 4: Simplify right side
    2,822.72x = 3,701,423.73
  5. Step 5: Solve for x
    x = 3,701,423.73/2,822.72
  6. Step 6: Final answer
    x = 1,311.30

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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.