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Finding the Fourth Proportional to 9,151.70, 13,727.55 and 2,226.20

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Solution

The fourth proportional to 9,151.70, 13,727.55 and 2,226.20 is: 3,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.70 : 13,727.55 = 2,226.20 : x
  2. Step 2: Convert to fraction form
    9,151.70/13,727.55 = 2,226.20/x
  3. Step 3: Cross multiply
    9,151.70x = 13,727.55 × 2,226.20
  4. Step 4: Simplify right side
    9,151.70x = 30,560,271.81
  5. Step 5: Solve for x
    x = 30,560,271.81/9,151.70
  6. Step 6: Final answer
    x = 3,339.30

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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.