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Finding the Fourth Proportional to 10,943, 15,101.38 and 5,975

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Solution

The fourth proportional to 10,943, 15,101.38 and 5,975 is: 8,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943 : 15,101.38 = 5,975 : x
  2. Step 2: Convert to fraction form
    10,943/15,101.38 = 5,975/x
  3. Step 3: Cross multiply
    10,943x = 15,101.38 × 5,975
  4. Step 4: Simplify right side
    10,943x = 90,230,745.50
  5. Step 5: Solve for x
    x = 90,230,745.50/10,943
  6. Step 6: Final answer
    x = 8,245.52

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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.