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Finding the Fourth Proportional to 3,991.31, 5,985.41 and 1,651.69

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Solution

The fourth proportional to 3,991.31, 5,985.41 and 1,651.69 is: 2,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.31 : 5,985.41 = 1,651.69 : x
  2. Step 2: Convert to fraction form
    3,991.31/5,985.41 = 1,651.69/x
  3. Step 3: Cross multiply
    3,991.31x = 5,985.41 × 1,651.69
  4. Step 4: Simplify right side
    3,991.31x = 9,886,041.84
  5. Step 5: Solve for x
    x = 9,886,041.84/3,991.31
  6. Step 6: Final answer
    x = 2,476.89

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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.