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Finding the Fourth Proportional to 7,684.74, 11,502.20 and 7,131.11

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Solution

The fourth proportional to 7,684.74, 11,502.20 and 7,131.11 is: 10,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 11,502.20 = 7,131.11 : x
  2. Step 2: Convert to fraction form
    7,684.74/11,502.20 = 7,131.11/x
  3. Step 3: Cross multiply
    7,684.74x = 11,502.20 × 7,131.11
  4. Step 4: Simplify right side
    7,684.74x = 82,023,413.76
  5. Step 5: Solve for x
    x = 82,023,413.76/7,684.74
  6. Step 6: Final answer
    x = 10,673.54

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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.