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Finding the Fourth Proportional to 30,356.52, 41,902.02 and 17,781

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Solution

The fourth proportional to 30,356.52, 41,902.02 and 17,781 is: 24,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356.52 : 41,902.02 = 17,781 : x
  2. Step 2: Convert to fraction form
    30,356.52/41,902.02 = 17,781/x
  3. Step 3: Cross multiply
    30,356.52x = 41,902.02 × 17,781
  4. Step 4: Simplify right side
    30,356.52x = 745,059,817.62
  5. Step 5: Solve for x
    x = 745,059,817.62/30,356.52
  6. Step 6: Final answer
    x = 24,543.65

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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.