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Finding the Fourth Proportional to 3,986.17, 5,979.02 and 1,521.24

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Solution

The fourth proportional to 3,986.17, 5,979.02 and 1,521.24 is: 2,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.17 : 5,979.02 = 1,521.24 : x
  2. Step 2: Convert to fraction form
    3,986.17/5,979.02 = 1,521.24/x
  3. Step 3: Cross multiply
    3,986.17x = 5,979.02 × 1,521.24
  4. Step 4: Simplify right side
    3,986.17x = 9,095,524.38
  5. Step 5: Solve for x
    x = 9,095,524.38/3,986.17
  6. Step 6: Final answer
    x = 2,281.77

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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.