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Finding the Fourth Proportional to 6,579.87, 9,077.18 and 3,783.75

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Solution

The fourth proportional to 6,579.87, 9,077.18 and 3,783.75 is: 5,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.87 : 9,077.18 = 3,783.75 : x
  2. Step 2: Convert to fraction form
    6,579.87/9,077.18 = 3,783.75/x
  3. Step 3: Cross multiply
    6,579.87x = 9,077.18 × 3,783.75
  4. Step 4: Simplify right side
    6,579.87x = 34,345,760.91
  5. Step 5: Solve for x
    x = 34,345,760.91/6,579.87
  6. Step 6: Final answer
    x = 5,219.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.