Home / 20,977.26-31,456.17-7,820.16

Finding the Fourth Proportional to 20,977.26, 31,456.17 and 7,820.16

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Solution

The fourth proportional to 20,977.26, 31,456.17 and 7,820.16 is: 11,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.26 : 31,456.17 = 7,820.16 : x
  2. Step 2: Convert to fraction form
    20,977.26/31,456.17 = 7,820.16/x
  3. Step 3: Cross multiply
    20,977.26x = 31,456.17 × 7,820.16
  4. Step 4: Simplify right side
    20,977.26x = 245,992,282.39
  5. Step 5: Solve for x
    x = 245,992,282.39/20,977.26
  6. Step 6: Final answer
    x = 11,726.62

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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.