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Finding the Fourth Proportional to 6,276.24, 8,661.60 and 5,226.48

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Solution

The fourth proportional to 6,276.24, 8,661.60 and 5,226.48 is: 7,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.24 : 8,661.60 = 5,226.48 : x
  2. Step 2: Convert to fraction form
    6,276.24/8,661.60 = 5,226.48/x
  3. Step 3: Cross multiply
    6,276.24x = 8,661.60 × 5,226.48
  4. Step 4: Simplify right side
    6,276.24x = 45,269,679.17
  5. Step 5: Solve for x
    x = 45,269,679.17/6,276.24
  6. Step 6: Final answer
    x = 7,212.87

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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.