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Finding the Fourth Proportional to 2,981, 4,112.64 and 2,299.82

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Solution

The fourth proportional to 2,981, 4,112.64 and 2,299.82 is: 3,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981 : 4,112.64 = 2,299.82 : x
  2. Step 2: Convert to fraction form
    2,981/4,112.64 = 2,299.82/x
  3. Step 3: Cross multiply
    2,981x = 4,112.64 × 2,299.82
  4. Step 4: Simplify right side
    2,981x = 9,458,331.72
  5. Step 5: Solve for x
    x = 9,458,331.72/2,981
  6. Step 6: Final answer
    x = 3,172.87

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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.