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Finding the Fourth Proportional to 21,852.81, 32,772.81 and 12,491.08

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Solution

The fourth proportional to 21,852.81, 32,772.81 and 12,491.08 is: 18,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.81 : 32,772.81 = 12,491.08 : x
  2. Step 2: Convert to fraction form
    21,852.81/32,772.81 = 12,491.08/x
  3. Step 3: Cross multiply
    21,852.81x = 32,772.81 × 12,491.08
  4. Step 4: Simplify right side
    21,852.81x = 409,367,791.53
  5. Step 5: Solve for x
    x = 409,367,791.53/21,852.81
  6. Step 6: Final answer
    x = 18,732.96

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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.