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Finding the Fourth Proportional to 3,414.72, 4,713.28 and 2,156

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Solution

The fourth proportional to 3,414.72, 4,713.28 and 2,156 is: 2,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.72 : 4,713.28 = 2,156 : x
  2. Step 2: Convert to fraction form
    3,414.72/4,713.28 = 2,156/x
  3. Step 3: Cross multiply
    3,414.72x = 4,713.28 × 2,156
  4. Step 4: Simplify right side
    3,414.72x = 10,161,831.68
  5. Step 5: Solve for x
    x = 10,161,831.68/3,414.72
  6. Step 6: Final answer
    x = 2,975.89

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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.