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Finding the Fourth Proportional to 39,990, 59,986.08 and 12,288

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Solution

The fourth proportional to 39,990, 59,986.08 and 12,288 is: 18,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,990 : 59,986.08 = 12,288 : x
  2. Step 2: Convert to fraction form
    39,990/59,986.08 = 12,288/x
  3. Step 3: Cross multiply
    39,990x = 59,986.08 × 12,288
  4. Step 4: Simplify right side
    39,990x = 737,108,951.04
  5. Step 5: Solve for x
    x = 737,108,951.04/39,990
  6. Step 6: Final answer
    x = 18,432.33

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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.