Home / 22,856-31,540.84-12,784.44

Finding the Fourth Proportional to 22,856, 31,540.84 and 12,784.44

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Solution

The fourth proportional to 22,856, 31,540.84 and 12,784.44 is: 17,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856 : 31,540.84 = 12,784.44 : x
  2. Step 2: Convert to fraction form
    22,856/31,540.84 = 12,784.44/x
  3. Step 3: Cross multiply
    22,856x = 31,540.84 × 12,784.44
  4. Step 4: Simplify right side
    22,856x = 403,231,976.53
  5. Step 5: Solve for x
    x = 403,231,976.53/22,856
  6. Step 6: Final answer
    x = 17,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.