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Finding the Fourth Proportional to 30,578.38, 45,793.68 and 17,390.77

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Solution

The fourth proportional to 30,578.38, 45,793.68 and 17,390.77 is: 26,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.38 : 45,793.68 = 17,390.77 : x
  2. Step 2: Convert to fraction form
    30,578.38/45,793.68 = 17,390.77/x
  3. Step 3: Cross multiply
    30,578.38x = 45,793.68 × 17,390.77
  4. Step 4: Simplify right side
    30,578.38x = 796,387,356.33
  5. Step 5: Solve for x
    x = 796,387,356.33/30,578.38
  6. Step 6: Final answer
    x = 26,044.13

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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.