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Finding the Fourth Proportional to 7,121.86, 10,684.62 and 5,122.86

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Solution

The fourth proportional to 7,121.86, 10,684.62 and 5,122.86 is: 7,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.86 : 10,684.62 = 5,122.86 : x
  2. Step 2: Convert to fraction form
    7,121.86/10,684.62 = 5,122.86/x
  3. Step 3: Cross multiply
    7,121.86x = 10,684.62 × 5,122.86
  4. Step 4: Simplify right side
    7,121.86x = 54,735,758.99
  5. Step 5: Solve for x
    x = 54,735,758.99/7,121.86
  6. Step 6: Final answer
    x = 7,685.60

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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.