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Finding the Fourth Proportional to 9,152.70, 13,729.05 and 2,227.20

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Solution

The fourth proportional to 9,152.70, 13,729.05 and 2,227.20 is: 3,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.70 : 13,729.05 = 2,227.20 : x
  2. Step 2: Convert to fraction form
    9,152.70/13,729.05 = 2,227.20/x
  3. Step 3: Cross multiply
    9,152.70x = 13,729.05 × 2,227.20
  4. Step 4: Simplify right side
    9,152.70x = 30,577,340.16
  5. Step 5: Solve for x
    x = 30,577,340.16/9,152.70
  6. Step 6: Final answer
    x = 3,340.80

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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.