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Finding the Fourth Proportional to 3,952.15, 5,931.63 and 2,198.90

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Solution

The fourth proportional to 3,952.15, 5,931.63 and 2,198.90 is: 3,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.15 : 5,931.63 = 2,198.90 : x
  2. Step 2: Convert to fraction form
    3,952.15/5,931.63 = 2,198.90/x
  3. Step 3: Cross multiply
    3,952.15x = 5,931.63 × 2,198.90
  4. Step 4: Simplify right side
    3,952.15x = 13,043,076.04
  5. Step 5: Solve for x
    x = 13,043,076.04/3,952.15
  6. Step 6: Final answer
    x = 3,300.25

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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.