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Finding the Fourth Proportional to 7,110.78, 10,668.18 and 2,431.80

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Solution

The fourth proportional to 7,110.78, 10,668.18 and 2,431.80 is: 3,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.78 : 10,668.18 = 2,431.80 : x
  2. Step 2: Convert to fraction form
    7,110.78/10,668.18 = 2,431.80/x
  3. Step 3: Cross multiply
    7,110.78x = 10,668.18 × 2,431.80
  4. Step 4: Simplify right side
    7,110.78x = 25,942,880.12
  5. Step 5: Solve for x
    x = 25,942,880.12/7,110.78
  6. Step 6: Final answer
    x = 3,648.39

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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.