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Finding the Fourth Proportional to 7,282.50, 10,049.88 and 4,138.68

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Solution

The fourth proportional to 7,282.50, 10,049.88 and 4,138.68 is: 5,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.50 : 10,049.88 = 4,138.68 : x
  2. Step 2: Convert to fraction form
    7,282.50/10,049.88 = 4,138.68/x
  3. Step 3: Cross multiply
    7,282.50x = 10,049.88 × 4,138.68
  4. Step 4: Simplify right side
    7,282.50x = 41,593,237.36
  5. Step 5: Solve for x
    x = 41,593,237.36/7,282.50
  6. Step 6: Final answer
    x = 5,711.40

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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.