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Finding the Fourth Proportional to 22,921, 31,631 and 12,985

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Solution

The fourth proportional to 22,921, 31,631 and 12,985 is: 17,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921 : 31,631 = 12,985 : x
  2. Step 2: Convert to fraction form
    22,921/31,631 = 12,985/x
  3. Step 3: Cross multiply
    22,921x = 31,631 × 12,985
  4. Step 4: Simplify right side
    22,921x = 410,728,535
  5. Step 5: Solve for x
    x = 410,728,535/22,921
  6. Step 6: Final answer
    x = 17,919.31

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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.