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Finding the Fourth Proportional to 21,661.82, 32,505.48 and 9,180.93

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Solution

The fourth proportional to 21,661.82, 32,505.48 and 9,180.93 is: 13,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.82 : 32,505.48 = 9,180.93 : x
  2. Step 2: Convert to fraction form
    21,661.82/32,505.48 = 9,180.93/x
  3. Step 3: Cross multiply
    21,661.82x = 32,505.48 × 9,180.93
  4. Step 4: Simplify right side
    21,661.82x = 298,430,536.50
  5. Step 5: Solve for x
    x = 298,430,536.50/21,661.82
  6. Step 6: Final answer
    x = 13,776.80

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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.