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Finding the Fourth Proportional to 3,987.94, 5,983.13 and 2,041.51

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Solution

The fourth proportional to 3,987.94, 5,983.13 and 2,041.51 is: 3,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.94 : 5,983.13 = 2,041.51 : x
  2. Step 2: Convert to fraction form
    3,987.94/5,983.13 = 2,041.51/x
  3. Step 3: Cross multiply
    3,987.94x = 5,983.13 × 2,041.51
  4. Step 4: Simplify right side
    3,987.94x = 12,214,609.52
  5. Step 5: Solve for x
    x = 12,214,609.52/3,987.94
  6. Step 6: Final answer
    x = 3,062.89

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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.