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Finding the Fourth Proportional to 3,986.33, 5,977.10 and 1,521.33

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Solution

The fourth proportional to 3,986.33, 5,977.10 and 1,521.33 is: 2,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.33 : 5,977.10 = 1,521.33 : x
  2. Step 2: Convert to fraction form
    3,986.33/5,977.10 = 1,521.33/x
  3. Step 3: Cross multiply
    3,986.33x = 5,977.10 × 1,521.33
  4. Step 4: Simplify right side
    3,986.33x = 9,093,133.94
  5. Step 5: Solve for x
    x = 9,093,133.94/3,986.33
  6. Step 6: Final answer
    x = 2,281.08

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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.