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Finding the Fourth Proportional to 19,722, 29,588.22 and 5,871

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Solution

The fourth proportional to 19,722, 29,588.22 and 5,871 is: 8,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722 : 29,588.22 = 5,871 : x
  2. Step 2: Convert to fraction form
    19,722/29,588.22 = 5,871/x
  3. Step 3: Cross multiply
    19,722x = 29,588.22 × 5,871
  4. Step 4: Simplify right side
    19,722x = 173,712,439.62
  5. Step 5: Solve for x
    x = 173,712,439.62/19,722
  6. Step 6: Final answer
    x = 8,808.05

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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.