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Finding the Fourth Proportional to 13,171.98, 19,773.41 and 10,400.52

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Solution

The fourth proportional to 13,171.98, 19,773.41 and 10,400.52 is: 15,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.98 : 19,773.41 = 10,400.52 : x
  2. Step 2: Convert to fraction form
    13,171.98/19,773.41 = 10,400.52/x
  3. Step 3: Cross multiply
    13,171.98x = 19,773.41 × 10,400.52
  4. Step 4: Simplify right side
    13,171.98x = 205,653,694.17
  5. Step 5: Solve for x
    x = 205,653,694.17/13,171.98
  6. Step 6: Final answer
    x = 15,612.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.