Home / 22,857.60-31,542.72-12,786

Finding the Fourth Proportional to 22,857.60, 31,542.72 and 12,786

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Solution

The fourth proportional to 22,857.60, 31,542.72 and 12,786 is: 17,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.60 : 31,542.72 = 12,786 : x
  2. Step 2: Convert to fraction form
    22,857.60/31,542.72 = 12,786/x
  3. Step 3: Cross multiply
    22,857.60x = 31,542.72 × 12,786
  4. Step 4: Simplify right side
    22,857.60x = 403,305,217.92
  5. Step 5: Solve for x
    x = 403,305,217.92/22,857.60
  6. Step 6: Final answer
    x = 17,644.25

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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.