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Finding the Fourth Proportional to 22,261, 30,721.14 and 12,325

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Solution

The fourth proportional to 22,261, 30,721.14 and 12,325 is: 17,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261 : 30,721.14 = 12,325 : x
  2. Step 2: Convert to fraction form
    22,261/30,721.14 = 12,325/x
  3. Step 3: Cross multiply
    22,261x = 30,721.14 × 12,325
  4. Step 4: Simplify right side
    22,261x = 378,638,050.50
  5. Step 5: Solve for x
    x = 378,638,050.50/22,261
  6. Step 6: Final answer
    x = 17,009.03

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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.