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Finding the Fourth Proportional to 20,264, 30,371.04 and 14,388.80

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Solution

The fourth proportional to 20,264, 30,371.04 and 14,388.80 is: 21,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264 : 30,371.04 = 14,388.80 : x
  2. Step 2: Convert to fraction form
    20,264/30,371.04 = 14,388.80/x
  3. Step 3: Cross multiply
    20,264x = 30,371.04 × 14,388.80
  4. Step 4: Simplify right side
    20,264x = 437,002,820.35
  5. Step 5: Solve for x
    x = 437,002,820.35/20,264
  6. Step 6: Final answer
    x = 21,565.48

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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.