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Finding the Fourth Proportional to 10,098.10, 15,147.72 and 3,078.34

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Solution

The fourth proportional to 10,098.10, 15,147.72 and 3,078.34 is: 4,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.10 : 15,147.72 = 3,078.34 : x
  2. Step 2: Convert to fraction form
    10,098.10/15,147.72 = 3,078.34/x
  3. Step 3: Cross multiply
    10,098.10x = 15,147.72 × 3,078.34
  4. Step 4: Simplify right side
    10,098.10x = 46,629,832.38
  5. Step 5: Solve for x
    x = 46,629,832.38/10,098.10
  6. Step 6: Final answer
    x = 4,617.68

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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.