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Finding the Fourth Proportional to 21,339.80, 32,013.16 and 8,013.84

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Solution

The fourth proportional to 21,339.80, 32,013.16 and 8,013.84 is: 12,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,339.80 : 32,013.16 = 8,013.84 : x
  2. Step 2: Convert to fraction form
    21,339.80/32,013.16 = 8,013.84/x
  3. Step 3: Cross multiply
    21,339.80x = 32,013.16 × 8,013.84
  4. Step 4: Simplify right side
    21,339.80x = 256,548,235.86
  5. Step 5: Solve for x
    x = 256,548,235.86/21,339.80
  6. Step 6: Final answer
    x = 12,022.05

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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.