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Finding the Fourth Proportional to 30,732.44, 42,414.99 and 17,309.12

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Solution

The fourth proportional to 30,732.44, 42,414.99 and 17,309.12 is: 23,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.44 : 42,414.99 = 17,309.12 : x
  2. Step 2: Convert to fraction form
    30,732.44/42,414.99 = 17,309.12/x
  3. Step 3: Cross multiply
    30,732.44x = 42,414.99 × 17,309.12
  4. Step 4: Simplify right side
    30,732.44x = 734,166,151.71
  5. Step 5: Solve for x
    x = 734,166,151.71/30,732.44
  6. Step 6: Final answer
    x = 23,888.96

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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.