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Finding the Fourth Proportional to 30,451.92, 42,023.88 and 17,876.88

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Solution

The fourth proportional to 30,451.92, 42,023.88 and 17,876.88 is: 24,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.92 : 42,023.88 = 17,876.88 : x
  2. Step 2: Convert to fraction form
    30,451.92/42,023.88 = 17,876.88/x
  3. Step 3: Cross multiply
    30,451.92x = 42,023.88 × 17,876.88
  4. Step 4: Simplify right side
    30,451.92x = 751,255,859.89
  5. Step 5: Solve for x
    x = 751,255,859.89/30,451.92
  6. Step 6: Final answer
    x = 24,670.23

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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.