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Finding the Fourth Proportional to 20,371.76, 28,112.99 and 12,414

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Solution

The fourth proportional to 20,371.76, 28,112.99 and 12,414 is: 17,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371.76 : 28,112.99 = 12,414 : x
  2. Step 2: Convert to fraction form
    20,371.76/28,112.99 = 12,414/x
  3. Step 3: Cross multiply
    20,371.76x = 28,112.99 × 12,414
  4. Step 4: Simplify right side
    20,371.76x = 348,994,657.86
  5. Step 5: Solve for x
    x = 348,994,657.86/20,371.76
  6. Step 6: Final answer
    x = 17,131.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.