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Finding the Fourth Proportional to 30,287, 41,796.06 and 17,039

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Solution

The fourth proportional to 30,287, 41,796.06 and 17,039 is: 23,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287 : 41,796.06 = 17,039 : x
  2. Step 2: Convert to fraction form
    30,287/41,796.06 = 17,039/x
  3. Step 3: Cross multiply
    30,287x = 41,796.06 × 17,039
  4. Step 4: Simplify right side
    30,287x = 712,163,066.34
  5. Step 5: Solve for x
    x = 712,163,066.34/30,287
  6. Step 6: Final answer
    x = 23,513.82

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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.