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Finding the Fourth Proportional to 22,927, 31,640.22 and 12,991

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Solution

The fourth proportional to 22,927, 31,640.22 and 12,991 is: 17,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927 : 31,640.22 = 12,991 : x
  2. Step 2: Convert to fraction form
    22,927/31,640.22 = 12,991/x
  3. Step 3: Cross multiply
    22,927x = 31,640.22 × 12,991
  4. Step 4: Simplify right side
    22,927x = 411,038,098.02
  5. Step 5: Solve for x
    x = 411,038,098.02/22,927
  6. Step 6: Final answer
    x = 17,928.12

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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.