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Finding the Fourth Proportional to 21,511.50, 32,268.47 and 7,660.50

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Solution

The fourth proportional to 21,511.50, 32,268.47 and 7,660.50 is: 11,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.50 : 32,268.47 = 7,660.50 : x
  2. Step 2: Convert to fraction form
    21,511.50/32,268.47 = 7,660.50/x
  3. Step 3: Cross multiply
    21,511.50x = 32,268.47 × 7,660.50
  4. Step 4: Simplify right side
    21,511.50x = 247,192,614.44
  5. Step 5: Solve for x
    x = 247,192,614.44/21,511.50
  6. Step 6: Final answer
    x = 11,491.18

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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.