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Finding the Fourth Proportional to 2,874.83, 4,312.25 and 1,231.25

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Solution

The fourth proportional to 2,874.83, 4,312.25 and 1,231.25 is: 1,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.83 : 4,312.25 = 1,231.25 : x
  2. Step 2: Convert to fraction form
    2,874.83/4,312.25 = 1,231.25/x
  3. Step 3: Cross multiply
    2,874.83x = 4,312.25 × 1,231.25
  4. Step 4: Simplify right side
    2,874.83x = 5,309,439.33
  5. Step 5: Solve for x
    x = 5,309,439.33/2,874.83
  6. Step 6: Final answer
    x = 1,846.87

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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.