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Finding the Fourth Proportional to 21,439, 32,179.30 and 10,353.48

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Solution

The fourth proportional to 21,439, 32,179.30 and 10,353.48 is: 15,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,439 : 32,179.30 = 10,353.48 : x
  2. Step 2: Convert to fraction form
    21,439/32,179.30 = 10,353.48/x
  3. Step 3: Cross multiply
    21,439x = 32,179.30 × 10,353.48
  4. Step 4: Simplify right side
    21,439x = 333,167,738.96
  5. Step 5: Solve for x
    x = 333,167,738.96/21,439
  6. Step 6: Final answer
    x = 15,540.26

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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.