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Finding the Fourth Proportional to 2,106.71, 3,160.11 and 936.46

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Solution

The fourth proportional to 2,106.71, 3,160.11 and 936.46 is: 1,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.71 : 3,160.11 = 936.46 : x
  2. Step 2: Convert to fraction form
    2,106.71/3,160.11 = 936.46/x
  3. Step 3: Cross multiply
    2,106.71x = 3,160.11 × 936.46
  4. Step 4: Simplify right side
    2,106.71x = 2,959,324.07
  5. Step 5: Solve for x
    x = 2,959,324.07/2,106.71
  6. Step 6: Final answer
    x = 1,404.71

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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.