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Finding the Fourth Proportional to 9,721, 13,414.98 and 5,305

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Solution

The fourth proportional to 9,721, 13,414.98 and 5,305 is: 7,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721 : 13,414.98 = 5,305 : x
  2. Step 2: Convert to fraction form
    9,721/13,414.98 = 5,305/x
  3. Step 3: Cross multiply
    9,721x = 13,414.98 × 5,305
  4. Step 4: Simplify right side
    9,721x = 71,166,468.90
  5. Step 5: Solve for x
    x = 71,166,468.90/9,721
  6. Step 6: Final answer
    x = 7,320.90

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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.