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Finding the Fourth Proportional to 10,986, 15,161 and 6,018.32

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Solution

The fourth proportional to 10,986, 15,161 and 6,018.32 is: 8,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 15,161 = 6,018.32 : x
  2. Step 2: Convert to fraction form
    10,986/15,161 = 6,018.32/x
  3. Step 3: Cross multiply
    10,986x = 15,161 × 6,018.32
  4. Step 4: Simplify right side
    10,986x = 91,243,749.52
  5. Step 5: Solve for x
    x = 91,243,749.52/10,986
  6. Step 6: Final answer
    x = 8,305.46

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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.