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Finding the Fourth Proportional to 21,394, 32,103.96 and 9,082

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Solution

The fourth proportional to 21,394, 32,103.96 and 9,082 is: 13,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394 : 32,103.96 = 9,082 : x
  2. Step 2: Convert to fraction form
    21,394/32,103.96 = 9,082/x
  3. Step 3: Cross multiply
    21,394x = 32,103.96 × 9,082
  4. Step 4: Simplify right side
    21,394x = 291,568,164.72
  5. Step 5: Solve for x
    x = 291,568,164.72/21,394
  6. Step 6: Final answer
    x = 13,628.50

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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.