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Finding the Fourth Proportional to 47,821.48, 71,736.22 and 12,761

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Solution

The fourth proportional to 47,821.48, 71,736.22 and 12,761 is: 19,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,821.48 : 71,736.22 = 12,761 : x
  2. Step 2: Convert to fraction form
    47,821.48/71,736.22 = 12,761/x
  3. Step 3: Cross multiply
    47,821.48x = 71,736.22 × 12,761
  4. Step 4: Simplify right side
    47,821.48x = 915,425,903.42
  5. Step 5: Solve for x
    x = 915,425,903.42/47,821.48
  6. Step 6: Final answer
    x = 19,142.57

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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.