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Finding the Fourth Proportional to 7,074.87, 9,766.34 and 4,421.71

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Solution

The fourth proportional to 7,074.87, 9,766.34 and 4,421.71 is: 6,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.87 : 9,766.34 = 4,421.71 : x
  2. Step 2: Convert to fraction form
    7,074.87/9,766.34 = 4,421.71/x
  3. Step 3: Cross multiply
    7,074.87x = 9,766.34 × 4,421.71
  4. Step 4: Simplify right side
    7,074.87x = 43,183,923.24
  5. Step 5: Solve for x
    x = 43,183,923.24/7,074.87
  6. Step 6: Final answer
    x = 6,103.85

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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.