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Finding the Fourth Proportional to 8,021.52, 12,032.28 and 3,914

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Solution

The fourth proportional to 8,021.52, 12,032.28 and 3,914 is: 5,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.52 : 12,032.28 = 3,914 : x
  2. Step 2: Convert to fraction form
    8,021.52/12,032.28 = 3,914/x
  3. Step 3: Cross multiply
    8,021.52x = 12,032.28 × 3,914
  4. Step 4: Simplify right side
    8,021.52x = 47,094,343.92
  5. Step 5: Solve for x
    x = 47,094,343.92/8,021.52
  6. Step 6: Final answer
    x = 5,871

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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.