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Finding the Fourth Proportional to 3,837.91, 5,758.69 and 1,988.68

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Solution

The fourth proportional to 3,837.91, 5,758.69 and 1,988.68 is: 2,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.91 : 5,758.69 = 1,988.68 : x
  2. Step 2: Convert to fraction form
    3,837.91/5,758.69 = 1,988.68/x
  3. Step 3: Cross multiply
    3,837.91x = 5,758.69 × 1,988.68
  4. Step 4: Simplify right side
    3,837.91x = 11,452,191.63
  5. Step 5: Solve for x
    x = 11,452,191.63/3,837.91
  6. Step 6: Final answer
    x = 2,983.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.