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Finding the Fourth Proportional to 3,725.50, 5,141.20 and 2,069.50

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Solution

The fourth proportional to 3,725.50, 5,141.20 and 2,069.50 is: 2,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.50 : 5,141.20 = 2,069.50 : x
  2. Step 2: Convert to fraction form
    3,725.50/5,141.20 = 2,069.50/x
  3. Step 3: Cross multiply
    3,725.50x = 5,141.20 × 2,069.50
  4. Step 4: Simplify right side
    3,725.50x = 10,639,713.40
  5. Step 5: Solve for x
    x = 10,639,713.40/3,725.50
  6. Step 6: Final answer
    x = 2,855.92

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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.