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Finding the Fourth Proportional to 13,833.90, 20,772.45 and 8,001.90

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Solution

The fourth proportional to 13,833.90, 20,772.45 and 8,001.90 is: 12,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.90 : 20,772.45 = 8,001.90 : x
  2. Step 2: Convert to fraction form
    13,833.90/20,772.45 = 8,001.90/x
  3. Step 3: Cross multiply
    13,833.90x = 20,772.45 × 8,001.90
  4. Step 4: Simplify right side
    13,833.90x = 166,219,067.66
  5. Step 5: Solve for x
    x = 166,219,067.66/13,833.90
  6. Step 6: Final answer
    x = 12,015.34

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1.5x scale

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.