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Finding the Fourth Proportional to 21,529, 32,306.46 and 9,217

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Solution

The fourth proportional to 21,529, 32,306.46 and 9,217 is: 13,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529 : 32,306.46 = 9,217 : x
  2. Step 2: Convert to fraction form
    21,529/32,306.46 = 9,217/x
  3. Step 3: Cross multiply
    21,529x = 32,306.46 × 9,217
  4. Step 4: Simplify right side
    21,529x = 297,768,641.82
  5. Step 5: Solve for x
    x = 297,768,641.82/21,529
  6. Step 6: Final answer
    x = 13,831.05

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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.