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Finding the Fourth Proportional to 21,423.92, 32,109.96 and 9,086

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Solution

The fourth proportional to 21,423.92, 32,109.96 and 9,086 is: 13,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.92 : 32,109.96 = 9,086 : x
  2. Step 2: Convert to fraction form
    21,423.92/32,109.96 = 9,086/x
  3. Step 3: Cross multiply
    21,423.92x = 32,109.96 × 9,086
  4. Step 4: Simplify right side
    21,423.92x = 291,751,096.56
  5. Step 5: Solve for x
    x = 291,751,096.56/21,423.92
  6. Step 6: Final answer
    x = 13,618.01

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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.