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Finding the Fourth Proportional to 10,112.85, 15,163.61 and 7,767

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Solution

The fourth proportional to 10,112.85, 15,163.61 and 7,767 is: 11,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.85 : 15,163.61 = 7,767 : x
  2. Step 2: Convert to fraction form
    10,112.85/15,163.61 = 7,767/x
  3. Step 3: Cross multiply
    10,112.85x = 15,163.61 × 7,767
  4. Step 4: Simplify right side
    10,112.85x = 117,775,720.04
  5. Step 5: Solve for x
    x = 117,775,720.04/10,112.85
  6. Step 6: Final answer
    x = 11,646.15

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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.