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Finding the Fourth Proportional to 20,671.83, 30,983.13 and 14,397.86

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Solution

The fourth proportional to 20,671.83, 30,983.13 and 14,397.86 is: 21,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.83 : 30,983.13 = 14,397.86 : x
  2. Step 2: Convert to fraction form
    20,671.83/30,983.13 = 14,397.86/x
  3. Step 3: Cross multiply
    20,671.83x = 30,983.13 × 14,397.86
  4. Step 4: Simplify right side
    20,671.83x = 446,090,845.56
  5. Step 5: Solve for x
    x = 446,090,845.56/20,671.83
  6. Step 6: Final answer
    x = 21,579.65

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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.