Home / 20,972.80-31,431.24-7,811.92

Finding the Fourth Proportional to 20,972.80, 31,431.24 and 7,811.92

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Solution

The fourth proportional to 20,972.80, 31,431.24 and 7,811.92 is: 11,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.80 : 31,431.24 = 7,811.92 : x
  2. Step 2: Convert to fraction form
    20,972.80/31,431.24 = 7,811.92/x
  3. Step 3: Cross multiply
    20,972.80x = 31,431.24 × 7,811.92
  4. Step 4: Simplify right side
    20,972.80x = 245,538,332.38
  5. Step 5: Solve for x
    x = 245,538,332.38/20,972.80
  6. Step 6: Final answer
    x = 11,707.47

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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.