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Finding the Fourth Proportional to 3,815, 5,264.78 and 2,159

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Solution

The fourth proportional to 3,815, 5,264.78 and 2,159 is: 2,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815 : 5,264.78 = 2,159 : x
  2. Step 2: Convert to fraction form
    3,815/5,264.78 = 2,159/x
  3. Step 3: Cross multiply
    3,815x = 5,264.78 × 2,159
  4. Step 4: Simplify right side
    3,815x = 11,366,660.02
  5. Step 5: Solve for x
    x = 11,366,660.02/3,815
  6. Step 6: Final answer
    x = 2,979.47

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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.