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Finding the Fourth Proportional to 7,696.85, 11,543.21 and 2,149.22

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Solution

The fourth proportional to 7,696.85, 11,543.21 and 2,149.22 is: 3,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.85 : 11,543.21 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    7,696.85/11,543.21 = 2,149.22/x
  3. Step 3: Cross multiply
    7,696.85x = 11,543.21 × 2,149.22
  4. Step 4: Simplify right side
    7,696.85x = 24,808,829.33
  5. Step 5: Solve for x
    x = 24,808,829.33/7,696.85
  6. Step 6: Final answer
    x = 3,223.25

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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.