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Finding the Fourth Proportional to 10,986, 15,164.36 and 6,679.06

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Solution

The fourth proportional to 10,986, 15,164.36 and 6,679.06 is: 9,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 15,164.36 = 6,679.06 : x
  2. Step 2: Convert to fraction form
    10,986/15,164.36 = 6,679.06/x
  3. Step 3: Cross multiply
    10,986x = 15,164.36 × 6,679.06
  4. Step 4: Simplify right side
    10,986x = 101,283,670.30
  5. Step 5: Solve for x
    x = 101,283,670.30/10,986
  6. Step 6: Final answer
    x = 9,219.34

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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.