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Finding the Fourth Proportional to 3,966.78, 5,474.08 and 2,288.08

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Solution

The fourth proportional to 3,966.78, 5,474.08 and 2,288.08 is: 3,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.78 : 5,474.08 = 2,288.08 : x
  2. Step 2: Convert to fraction form
    3,966.78/5,474.08 = 2,288.08/x
  3. Step 3: Cross multiply
    3,966.78x = 5,474.08 × 2,288.08
  4. Step 4: Simplify right side
    3,966.78x = 12,525,132.97
  5. Step 5: Solve for x
    x = 12,525,132.97/3,966.78
  6. Step 6: Final answer
    x = 3,157.51

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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.