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Finding the Fourth Proportional to 21,473.44, 32,205.30 and 9,790

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Solution

The fourth proportional to 21,473.44, 32,205.30 and 9,790 is: 14,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.44 : 32,205.30 = 9,790 : x
  2. Step 2: Convert to fraction form
    21,473.44/32,205.30 = 9,790/x
  3. Step 3: Cross multiply
    21,473.44x = 32,205.30 × 9,790
  4. Step 4: Simplify right side
    21,473.44x = 315,289,887
  5. Step 5: Solve for x
    x = 315,289,887/21,473.44
  6. Step 6: Final answer
    x = 14,682.78

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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.