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Finding the Fourth Proportional to 20,423.78, 30,623.82 and 9,324.53

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Solution

The fourth proportional to 20,423.78, 30,623.82 and 9,324.53 is: 13,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.78 : 30,623.82 = 9,324.53 : x
  2. Step 2: Convert to fraction form
    20,423.78/30,623.82 = 9,324.53/x
  3. Step 3: Cross multiply
    20,423.78x = 30,623.82 × 9,324.53
  4. Step 4: Simplify right side
    20,423.78x = 285,552,575.19
  5. Step 5: Solve for x
    x = 285,552,575.19/20,423.78
  6. Step 6: Final answer
    x = 13,981.38

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1.5x scale

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.