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Finding the Fourth Proportional to 21,129.99, 31,711.05 and 7,815.58

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Solution

The fourth proportional to 21,129.99, 31,711.05 and 7,815.58 is: 11,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.99 : 31,711.05 = 7,815.58 : x
  2. Step 2: Convert to fraction form
    21,129.99/31,711.05 = 7,815.58/x
  3. Step 3: Cross multiply
    21,129.99x = 31,711.05 × 7,815.58
  4. Step 4: Simplify right side
    21,129.99x = 247,840,168.88
  5. Step 5: Solve for x
    x = 247,840,168.88/21,129.99
  6. Step 6: Final answer
    x = 11,729.31

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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.