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Finding the Fourth Proportional to 30,512.92, 42,086.04 and 18,577

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Solution

The fourth proportional to 30,512.92, 42,086.04 and 18,577 is: 25,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.92 : 42,086.04 = 18,577 : x
  2. Step 2: Convert to fraction form
    30,512.92/42,086.04 = 18,577/x
  3. Step 3: Cross multiply
    30,512.92x = 42,086.04 × 18,577
  4. Step 4: Simplify right side
    30,512.92x = 781,832,365.08
  5. Step 5: Solve for x
    x = 781,832,365.08/30,512.92
  6. Step 6: Final answer
    x = 25,622.99

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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.