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Finding the Fourth Proportional to 10,394.72, 15,582.35 and 3,819.14

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Solution

The fourth proportional to 10,394.72, 15,582.35 and 3,819.14 is: 5,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.72 : 15,582.35 = 3,819.14 : x
  2. Step 2: Convert to fraction form
    10,394.72/15,582.35 = 3,819.14/x
  3. Step 3: Cross multiply
    10,394.72x = 15,582.35 × 3,819.14
  4. Step 4: Simplify right side
    10,394.72x = 59,511,107.82
  5. Step 5: Solve for x
    x = 59,511,107.82/10,394.72
  6. Step 6: Final answer
    x = 5,725.13

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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.