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Finding the Fourth Proportional to 10,959.49, 16,449 and 5,119.39

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Solution

The fourth proportional to 10,959.49, 16,449 and 5,119.39 is: 7,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.49 : 16,449 = 5,119.39 : x
  2. Step 2: Convert to fraction form
    10,959.49/16,449 = 5,119.39/x
  3. Step 3: Cross multiply
    10,959.49x = 16,449 × 5,119.39
  4. Step 4: Simplify right side
    10,959.49x = 84,208,846.11
  5. Step 5: Solve for x
    x = 84,208,846.11/10,959.49
  6. Step 6: Final answer
    x = 7,683.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.