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Finding the Fourth Proportional to 21,533, 32,286.84 and 8,369.90

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Solution

The fourth proportional to 21,533, 32,286.84 and 8,369.90 is: 12,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533 : 32,286.84 = 8,369.90 : x
  2. Step 2: Convert to fraction form
    21,533/32,286.84 = 8,369.90/x
  3. Step 3: Cross multiply
    21,533x = 32,286.84 × 8,369.90
  4. Step 4: Simplify right side
    21,533x = 270,237,622.12
  5. Step 5: Solve for x
    x = 270,237,622.12/21,533
  6. Step 6: Final answer
    x = 12,549.93

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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.