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Finding the Fourth Proportional to 1,889.71, 2,608.12 and 1,103.61

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Solution

The fourth proportional to 1,889.71, 2,608.12 and 1,103.61 is: 1,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.71 : 2,608.12 = 1,103.61 : x
  2. Step 2: Convert to fraction form
    1,889.71/2,608.12 = 1,103.61/x
  3. Step 3: Cross multiply
    1,889.71x = 2,608.12 × 1,103.61
  4. Step 4: Simplify right side
    1,889.71x = 2,878,341.80
  5. Step 5: Solve for x
    x = 2,878,341.80/1,889.71
  6. Step 6: Final answer
    x = 1,523.17

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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.