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Finding the Fourth Proportional to 10,661.76, 15,969.15 and 9,012.33

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Solution

The fourth proportional to 10,661.76, 15,969.15 and 9,012.33 is: 13,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.76 : 15,969.15 = 9,012.33 : x
  2. Step 2: Convert to fraction form
    10,661.76/15,969.15 = 9,012.33/x
  3. Step 3: Cross multiply
    10,661.76x = 15,969.15 × 9,012.33
  4. Step 4: Simplify right side
    10,661.76x = 143,919,249.62
  5. Step 5: Solve for x
    x = 143,919,249.62/10,661.76
  6. Step 6: Final answer
    x = 13,498.64

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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.