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Finding the Fourth Proportional to 21,510, 32,266.22 and 7,659

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Solution

The fourth proportional to 21,510, 32,266.22 and 7,659 is: 11,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510 : 32,266.22 = 7,659 : x
  2. Step 2: Convert to fraction form
    21,510/32,266.22 = 7,659/x
  3. Step 3: Cross multiply
    21,510x = 32,266.22 × 7,659
  4. Step 4: Simplify right side
    21,510x = 247,126,940.69
  5. Step 5: Solve for x
    x = 247,126,940.69/21,510
  6. Step 6: Final answer
    x = 11,488.93

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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.