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Finding the Fourth Proportional to 30,561.89, 42,175.57 and 17,823.92

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Solution

The fourth proportional to 30,561.89, 42,175.57 and 17,823.92 is: 24,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.89 : 42,175.57 = 17,823.92 : x
  2. Step 2: Convert to fraction form
    30,561.89/42,175.57 = 17,823.92/x
  3. Step 3: Cross multiply
    30,561.89x = 42,175.57 × 17,823.92
  4. Step 4: Simplify right side
    30,561.89x = 751,733,763.62
  5. Step 5: Solve for x
    x = 751,733,763.62/30,561.89
  6. Step 6: Final answer
    x = 24,597.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.