Home / 20,974.98-31,467.96-7,827.47

Finding the Fourth Proportional to 20,974.98, 31,467.96 and 7,827.47

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Solution

The fourth proportional to 20,974.98, 31,467.96 and 7,827.47 is: 11,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.98 : 31,467.96 = 7,827.47 : x
  2. Step 2: Convert to fraction form
    20,974.98/31,467.96 = 7,827.47/x
  3. Step 3: Cross multiply
    20,974.98x = 31,467.96 × 7,827.47
  4. Step 4: Simplify right side
    20,974.98x = 246,314,473.53
  5. Step 5: Solve for x
    x = 246,314,473.53/20,974.98
  6. Step 6: Final answer
    x = 11,743.25

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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.