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Finding the Fourth Proportional to 3,837.92, 5,758.29 and 1,987.83

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Solution

The fourth proportional to 3,837.92, 5,758.29 and 1,987.83 is: 2,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.92 : 5,758.29 = 1,987.83 : x
  2. Step 2: Convert to fraction form
    3,837.92/5,758.29 = 1,987.83/x
  3. Step 3: Cross multiply
    3,837.92x = 5,758.29 × 1,987.83
  4. Step 4: Simplify right side
    3,837.92x = 11,446,501.61
  5. Step 5: Solve for x
    x = 11,446,501.61/3,837.92
  6. Step 6: Final answer
    x = 2,982.48

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1.5x scale

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.