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Finding the Fourth Proportional to 21,491.12, 32,231.86 and 9,025.22

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Solution

The fourth proportional to 21,491.12, 32,231.86 and 9,025.22 is: 13,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.12 : 32,231.86 = 9,025.22 : x
  2. Step 2: Convert to fraction form
    21,491.12/32,231.86 = 9,025.22/x
  3. Step 3: Cross multiply
    21,491.12x = 32,231.86 × 9,025.22
  4. Step 4: Simplify right side
    21,491.12x = 290,899,685.53
  5. Step 5: Solve for x
    x = 290,899,685.53/21,491.12
  6. Step 6: Final answer
    x = 13,535.81

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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.