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Finding the Fourth Proportional to 3,031, 4,169.82 and 2,901.40

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Solution

The fourth proportional to 3,031, 4,169.82 and 2,901.40 is: 3,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031 : 4,169.82 = 2,901.40 : x
  2. Step 2: Convert to fraction form
    3,031/4,169.82 = 2,901.40/x
  3. Step 3: Cross multiply
    3,031x = 4,169.82 × 2,901.40
  4. Step 4: Simplify right side
    3,031x = 12,098,315.75
  5. Step 5: Solve for x
    x = 12,098,315.75/3,031
  6. Step 6: Final answer
    x = 3,991.53

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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.