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Finding the Fourth Proportional to 30,997.66, 42,773.86 and 17,569.88

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Solution

The fourth proportional to 30,997.66, 42,773.86 and 17,569.88 is: 24,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.66 : 42,773.86 = 17,569.88 : x
  2. Step 2: Convert to fraction form
    30,997.66/42,773.86 = 17,569.88/x
  3. Step 3: Cross multiply
    30,997.66x = 42,773.86 × 17,569.88
  4. Step 4: Simplify right side
    30,997.66x = 751,531,587.34
  5. Step 5: Solve for x
    x = 751,531,587.34/30,997.66
  6. Step 6: Final answer
    x = 24,244.78

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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.