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Finding the Fourth Proportional to 30,891.57, 42,634.91 and 19,562.10

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Solution

The fourth proportional to 30,891.57, 42,634.91 and 19,562.10 is: 26,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.57 : 42,634.91 = 19,562.10 : x
  2. Step 2: Convert to fraction form
    30,891.57/42,634.91 = 19,562.10/x
  3. Step 3: Cross multiply
    30,891.57x = 42,634.91 × 19,562.10
  4. Step 4: Simplify right side
    30,891.57x = 834,028,372.91
  5. Step 5: Solve for x
    x = 834,028,372.91/30,891.57
  6. Step 6: Final answer
    x = 26,998.58

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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.