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Finding the Fourth Proportional to 10,961.50, 15,127.11 and 5,993.50

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Solution

The fourth proportional to 10,961.50, 15,127.11 and 5,993.50 is: 8,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.50 : 15,127.11 = 5,993.50 : x
  2. Step 2: Convert to fraction form
    10,961.50/15,127.11 = 5,993.50/x
  3. Step 3: Cross multiply
    10,961.50x = 15,127.11 × 5,993.50
  4. Step 4: Simplify right side
    10,961.50x = 90,664,333.79
  5. Step 5: Solve for x
    x = 90,664,333.79/10,961.50
  6. Step 6: Final answer
    x = 8,271.16

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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.