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Finding the Fourth Proportional to 5,250.92, 7,871.51 and 1,961.51

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Solution

The fourth proportional to 5,250.92, 7,871.51 and 1,961.51 is: 2,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.92 : 7,871.51 = 1,961.51 : x
  2. Step 2: Convert to fraction form
    5,250.92/7,871.51 = 1,961.51/x
  3. Step 3: Cross multiply
    5,250.92x = 7,871.51 × 1,961.51
  4. Step 4: Simplify right side
    5,250.92x = 15,439,996.42
  5. Step 5: Solve for x
    x = 15,439,996.42/5,250.92
  6. Step 6: Final answer
    x = 2,940.44

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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.