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Finding the Fourth Proportional to 30,581, 42,202.42 and 17,333

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Solution

The fourth proportional to 30,581, 42,202.42 and 17,333 is: 23,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581 : 42,202.42 = 17,333 : x
  2. Step 2: Convert to fraction form
    30,581/42,202.42 = 17,333/x
  3. Step 3: Cross multiply
    30,581x = 42,202.42 × 17,333
  4. Step 4: Simplify right side
    30,581x = 731,494,545.86
  5. Step 5: Solve for x
    x = 731,494,545.86/30,581
  6. Step 6: Final answer
    x = 23,919.90

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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.