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Finding the Fourth Proportional to 13,194.90, 19,805.31 and 10,045.62

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Solution

The fourth proportional to 13,194.90, 19,805.31 and 10,045.62 is: 15,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.90 : 19,805.31 = 10,045.62 : x
  2. Step 2: Convert to fraction form
    13,194.90/19,805.31 = 10,045.62/x
  3. Step 3: Cross multiply
    13,194.90x = 19,805.31 × 10,045.62
  4. Step 4: Simplify right side
    13,194.90x = 198,956,618.24
  5. Step 5: Solve for x
    x = 198,956,618.24/13,194.90
  6. Step 6: Final answer
    x = 15,078.30

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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.