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Finding the Fourth Proportional to 21,222, 31,837.86 and 7,371

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Solution

The fourth proportional to 21,222, 31,837.86 and 7,371 is: 11,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222 : 31,837.86 = 7,371 : x
  2. Step 2: Convert to fraction form
    21,222/31,837.86 = 7,371/x
  3. Step 3: Cross multiply
    21,222x = 31,837.86 × 7,371
  4. Step 4: Simplify right side
    21,222x = 234,676,866.06
  5. Step 5: Solve for x
    x = 234,676,866.06/21,222
  6. Step 6: Final answer
    x = 11,058.19

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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.