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Finding the Fourth Proportional to 22,234.50, 30,683.21 and 13,284

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Solution

The fourth proportional to 22,234.50, 30,683.21 and 13,284 is: 18,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.50 : 30,683.21 = 13,284 : x
  2. Step 2: Convert to fraction form
    22,234.50/30,683.21 = 13,284/x
  3. Step 3: Cross multiply
    22,234.50x = 30,683.21 × 13,284
  4. Step 4: Simplify right side
    22,234.50x = 407,595,695.22
  5. Step 5: Solve for x
    x = 407,595,695.22/22,234.50
  6. Step 6: Final answer
    x = 18,331.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.