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Finding the Fourth Proportional to 10,986, 15,133.92 and 8,330.82

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Solution

The fourth proportional to 10,986, 15,133.92 and 8,330.82 is: 11,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 15,133.92 = 8,330.82 : x
  2. Step 2: Convert to fraction form
    10,986/15,133.92 = 8,330.82/x
  3. Step 3: Cross multiply
    10,986x = 15,133.92 × 8,330.82
  4. Step 4: Simplify right side
    10,986x = 126,077,963.41
  5. Step 5: Solve for x
    x = 126,077,963.41/10,986
  6. Step 6: Final answer
    x = 11,476.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.