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Finding the Fourth Proportional to 21,722, 32,583 and 7,871

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Solution

The fourth proportional to 21,722, 32,583 and 7,871 is: 11,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722 : 32,583 = 7,871 : x
  2. Step 2: Convert to fraction form
    21,722/32,583 = 7,871/x
  3. Step 3: Cross multiply
    21,722x = 32,583 × 7,871
  4. Step 4: Simplify right side
    21,722x = 256,460,793
  5. Step 5: Solve for x
    x = 256,460,793/21,722
  6. Step 6: Final answer
    x = 11,806.50

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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.