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Finding the Fourth Proportional to 10,986, 15,160.60 and 5,950.10

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Solution

The fourth proportional to 10,986, 15,160.60 and 5,950.10 is: 8,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 15,160.60 = 5,950.10 : x
  2. Step 2: Convert to fraction form
    10,986/15,160.60 = 5,950.10/x
  3. Step 3: Cross multiply
    10,986x = 15,160.60 × 5,950.10
  4. Step 4: Simplify right side
    10,986x = 90,207,086.06
  5. Step 5: Solve for x
    x = 90,207,086.06/10,986
  6. Step 6: Final answer
    x = 8,211.09

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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.