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Finding the Fourth Proportional to 10,880.48, 15,019.44 and 8,228.48

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Solution

The fourth proportional to 10,880.48, 15,019.44 and 8,228.48 is: 11,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.48 : 15,019.44 = 8,228.48 : x
  2. Step 2: Convert to fraction form
    10,880.48/15,019.44 = 8,228.48/x
  3. Step 3: Cross multiply
    10,880.48x = 15,019.44 × 8,228.48
  4. Step 4: Simplify right side
    10,880.48x = 123,587,161.65
  5. Step 5: Solve for x
    x = 123,587,161.65/10,880.48
  6. Step 6: Final answer
    x = 11,358.61

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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.