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Finding the Fourth Proportional to 11,721, 17,581.48 and 4,795.48

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Solution

The fourth proportional to 11,721, 17,581.48 and 4,795.48 is: 7,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 17,581.48 = 4,795.48 : x
  2. Step 2: Convert to fraction form
    11,721/17,581.48 = 4,795.48/x
  3. Step 3: Cross multiply
    11,721x = 17,581.48 × 4,795.48
  4. Step 4: Simplify right side
    11,721x = 84,311,635.71
  5. Step 5: Solve for x
    x = 84,311,635.71/11,721
  6. Step 6: Final answer
    x = 7,193.21

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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.