Home / 20,986.29-31,475.79-7,838.78

Finding the Fourth Proportional to 20,986.29, 31,475.79 and 7,838.78

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Solution

The fourth proportional to 20,986.29, 31,475.79 and 7,838.78 is: 11,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.29 : 31,475.79 = 7,838.78 : x
  2. Step 2: Convert to fraction form
    20,986.29/31,475.79 = 7,838.78/x
  3. Step 3: Cross multiply
    20,986.29x = 31,475.79 × 7,838.78
  4. Step 4: Simplify right side
    20,986.29x = 246,731,635.76
  5. Step 5: Solve for x
    x = 246,731,635.76/20,986.29
  6. Step 6: Final answer
    x = 11,756.80

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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.