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Finding the Fourth Proportional to 20,783, 31,193.22 and 14,103.32

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Solution

The fourth proportional to 20,783, 31,193.22 and 14,103.32 is: 21,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783 : 31,193.22 = 14,103.32 : x
  2. Step 2: Convert to fraction form
    20,783/31,193.22 = 14,103.32/x
  3. Step 3: Cross multiply
    20,783x = 31,193.22 × 14,103.32
  4. Step 4: Simplify right side
    20,783x = 439,927,963.49
  5. Step 5: Solve for x
    x = 439,927,963.49/20,783
  6. Step 6: Final answer
    x = 21,167.68

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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.