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Finding the Fourth Proportional to 22,100.73, 30,500 and 13,603.24

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Solution

The fourth proportional to 22,100.73, 30,500 and 13,603.24 is: 18,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.73 : 30,500 = 13,603.24 : x
  2. Step 2: Convert to fraction form
    22,100.73/30,500 = 13,603.24/x
  3. Step 3: Cross multiply
    22,100.73x = 30,500 × 13,603.24
  4. Step 4: Simplify right side
    22,100.73x = 414,898,820
  5. Step 5: Solve for x
    x = 414,898,820/22,100.73
  6. Step 6: Final answer
    x = 18,773.08

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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.