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Finding the Fourth Proportional to 2,103.49, 2,908.07 and 1,578.61

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Solution

The fourth proportional to 2,103.49, 2,908.07 and 1,578.61 is: 2,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.49 : 2,908.07 = 1,578.61 : x
  2. Step 2: Convert to fraction form
    2,103.49/2,908.07 = 1,578.61/x
  3. Step 3: Cross multiply
    2,103.49x = 2,908.07 × 1,578.61
  4. Step 4: Simplify right side
    2,103.49x = 4,590,708.38
  5. Step 5: Solve for x
    x = 4,590,708.38/2,103.49
  6. Step 6: Final answer
    x = 2,182.42

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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.