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Finding the Fourth Proportional to 10,939, 15,096.20 and 5,971

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Solution

The fourth proportional to 10,939, 15,096.20 and 5,971 is: 8,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939 : 15,096.20 = 5,971 : x
  2. Step 2: Convert to fraction form
    10,939/15,096.20 = 5,971/x
  3. Step 3: Cross multiply
    10,939x = 15,096.20 × 5,971
  4. Step 4: Simplify right side
    10,939x = 90,139,410.20
  5. Step 5: Solve for x
    x = 90,139,410.20/10,939
  6. Step 6: Final answer
    x = 8,240.19

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1.5x scale

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.