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Finding the Fourth Proportional to 2,959.91, 4,084.13 and 1,897.87

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Solution

The fourth proportional to 2,959.91, 4,084.13 and 1,897.87 is: 2,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.91 : 4,084.13 = 1,897.87 : x
  2. Step 2: Convert to fraction form
    2,959.91/4,084.13 = 1,897.87/x
  3. Step 3: Cross multiply
    2,959.91x = 4,084.13 × 1,897.87
  4. Step 4: Simplify right side
    2,959.91x = 7,751,142.34
  5. Step 5: Solve for x
    x = 7,751,142.34/2,959.91
  6. Step 6: Final answer
    x = 2,618.71

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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.