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Finding the Fourth Proportional to 32,814, 49,221.36 and 8,190

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Solution

The fourth proportional to 32,814, 49,221.36 and 8,190 is: 12,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814 : 49,221.36 = 8,190 : x
  2. Step 2: Convert to fraction form
    32,814/49,221.36 = 8,190/x
  3. Step 3: Cross multiply
    32,814x = 49,221.36 × 8,190
  4. Step 4: Simplify right side
    32,814x = 403,122,938.40
  5. Step 5: Solve for x
    x = 403,122,938.40/32,814
  6. Step 6: Final answer
    x = 12,285.09

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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.