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Finding the Fourth Proportional to 9,278.72, 13,917.72 and 3,039.20

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Solution

The fourth proportional to 9,278.72, 13,917.72 and 3,039.20 is: 4,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.72 : 13,917.72 = 3,039.20 : x
  2. Step 2: Convert to fraction form
    9,278.72/13,917.72 = 3,039.20/x
  3. Step 3: Cross multiply
    9,278.72x = 13,917.72 × 3,039.20
  4. Step 4: Simplify right side
    9,278.72x = 42,298,734.62
  5. Step 5: Solve for x
    x = 42,298,734.62/9,278.72
  6. Step 6: Final answer
    x = 4,558.68

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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.