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Finding the Fourth Proportional to 11,416.68, 17,100 and 7,020.78

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Solution

The fourth proportional to 11,416.68, 17,100 and 7,020.78 is: 10,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.68 : 17,100 = 7,020.78 : x
  2. Step 2: Convert to fraction form
    11,416.68/17,100 = 7,020.78/x
  3. Step 3: Cross multiply
    11,416.68x = 17,100 × 7,020.78
  4. Step 4: Simplify right side
    11,416.68x = 120,055,338
  5. Step 5: Solve for x
    x = 120,055,338/11,416.68
  6. Step 6: Final answer
    x = 10,515.78

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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.