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Finding the Fourth Proportional to 8,289.91, 12,441.08 and 5,174.47

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Solution

The fourth proportional to 8,289.91, 12,441.08 and 5,174.47 is: 7,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.91 : 12,441.08 = 5,174.47 : x
  2. Step 2: Convert to fraction form
    8,289.91/12,441.08 = 5,174.47/x
  3. Step 3: Cross multiply
    8,289.91x = 12,441.08 × 5,174.47
  4. Step 4: Simplify right side
    8,289.91x = 64,375,995.23
  5. Step 5: Solve for x
    x = 64,375,995.23/8,289.91
  6. Step 6: Final answer
    x = 7,765.58

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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.