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Finding the Fourth Proportional to 3,197.70, 4,790.27 and 2,849.40

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Solution

The fourth proportional to 3,197.70, 4,790.27 and 2,849.40 is: 4,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.70 : 4,790.27 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    3,197.70/4,790.27 = 2,849.40/x
  3. Step 3: Cross multiply
    3,197.70x = 4,790.27 × 2,849.40
  4. Step 4: Simplify right side
    3,197.70x = 13,649,381.09
  5. Step 5: Solve for x
    x = 13,649,381.09/3,197.70
  6. Step 6: Final answer
    x = 4,268.50

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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.