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Finding the Fourth Proportional to 30,287, 41,791.57 and 18,184.93

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Solution

The fourth proportional to 30,287, 41,791.57 and 18,184.93 is: 25,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287 : 41,791.57 = 18,184.93 : x
  2. Step 2: Convert to fraction form
    30,287/41,791.57 = 18,184.93/x
  3. Step 3: Cross multiply
    30,287x = 41,791.57 × 18,184.93
  4. Step 4: Simplify right side
    30,287x = 759,976,775.04
  5. Step 5: Solve for x
    x = 759,976,775.04/30,287
  6. Step 6: Final answer
    x = 25,092.51

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1.5x scale

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.