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Finding the Fourth Proportional to 20,314.54, 30,475.62 and 9,222

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Solution

The fourth proportional to 20,314.54, 30,475.62 and 9,222 is: 13,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.54 : 30,475.62 = 9,222 : x
  2. Step 2: Convert to fraction form
    20,314.54/30,475.62 = 9,222/x
  3. Step 3: Cross multiply
    20,314.54x = 30,475.62 × 9,222
  4. Step 4: Simplify right side
    20,314.54x = 281,046,167.64
  5. Step 5: Solve for x
    x = 281,046,167.64/20,314.54
  6. Step 6: Final answer
    x = 13,834.73

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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.