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Finding the Fourth Proportional to 21,850.30, 32,769.07 and 12,488.57

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Solution

The fourth proportional to 21,850.30, 32,769.07 and 12,488.57 is: 18,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.30 : 32,769.07 = 12,488.57 : x
  2. Step 2: Convert to fraction form
    21,850.30/32,769.07 = 12,488.57/x
  3. Step 3: Cross multiply
    21,850.30x = 32,769.07 × 12,488.57
  4. Step 4: Simplify right side
    21,850.30x = 409,238,875.23
  5. Step 5: Solve for x
    x = 409,238,875.23/21,850.30
  6. Step 6: Final answer
    x = 18,729.21

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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.