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Finding the Fourth Proportional to 22,978.45, 34,467.81 and 8,187.94

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Solution

The fourth proportional to 22,978.45, 34,467.81 and 8,187.94 is: 12,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.45 : 34,467.81 = 8,187.94 : x
  2. Step 2: Convert to fraction form
    22,978.45/34,467.81 = 8,187.94/x
  3. Step 3: Cross multiply
    22,978.45x = 34,467.81 × 8,187.94
  4. Step 4: Simplify right side
    22,978.45x = 282,220,360.21
  5. Step 5: Solve for x
    x = 282,220,360.21/22,978.45
  6. Step 6: Final answer
    x = 12,281.96

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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.