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Finding the Fourth Proportional to 9,161.65, 13,736.22 and 4,228.54

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Solution

The fourth proportional to 9,161.65, 13,736.22 and 4,228.54 is: 6,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.65 : 13,736.22 = 4,228.54 : x
  2. Step 2: Convert to fraction form
    9,161.65/13,736.22 = 4,228.54/x
  3. Step 3: Cross multiply
    9,161.65x = 13,736.22 × 4,228.54
  4. Step 4: Simplify right side
    9,161.65x = 58,084,155.72
  5. Step 5: Solve for x
    x = 58,084,155.72/9,161.65
  6. Step 6: Final answer
    x = 6,339.92

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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.