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Finding the Fourth Proportional to 3,967.86, 5,471 and 3,219.48

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Solution

The fourth proportional to 3,967.86, 5,471 and 3,219.48 is: 4,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.86 : 5,471 = 3,219.48 : x
  2. Step 2: Convert to fraction form
    3,967.86/5,471 = 3,219.48/x
  3. Step 3: Cross multiply
    3,967.86x = 5,471 × 3,219.48
  4. Step 4: Simplify right side
    3,967.86x = 17,613,775.08
  5. Step 5: Solve for x
    x = 17,613,775.08/3,967.86
  6. Step 6: Final answer
    x = 4,439.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.