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Finding the Fourth Proportional to 10,097.78, 15,148.85 and 3,077.61

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Solution

The fourth proportional to 10,097.78, 15,148.85 and 3,077.61 is: 4,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.78 : 15,148.85 = 3,077.61 : x
  2. Step 2: Convert to fraction form
    10,097.78/15,148.85 = 3,077.61/x
  3. Step 3: Cross multiply
    10,097.78x = 15,148.85 × 3,077.61
  4. Step 4: Simplify right side
    10,097.78x = 46,622,180.05
  5. Step 5: Solve for x
    x = 46,622,180.05/10,097.78
  6. Step 6: Final answer
    x = 4,617.07

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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.