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Finding the Fourth Proportional to 2,822.38, 4,234.20 and 874.60

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Solution

The fourth proportional to 2,822.38, 4,234.20 and 874.60 is: 1,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.38 : 4,234.20 = 874.60 : x
  2. Step 2: Convert to fraction form
    2,822.38/4,234.20 = 874.60/x
  3. Step 3: Cross multiply
    2,822.38x = 4,234.20 × 874.60
  4. Step 4: Simplify right side
    2,822.38x = 3,703,231.32
  5. Step 5: Solve for x
    x = 3,703,231.32/2,822.38
  6. Step 6: Final answer
    x = 1,312.10

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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.