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Finding the Fourth Proportional to 8,372.48, 11,549.66 and 5,682.76

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Solution

The fourth proportional to 8,372.48, 11,549.66 and 5,682.76 is: 7,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.48 : 11,549.66 = 5,682.76 : x
  2. Step 2: Convert to fraction form
    8,372.48/11,549.66 = 5,682.76/x
  3. Step 3: Cross multiply
    8,372.48x = 11,549.66 × 5,682.76
  4. Step 4: Simplify right side
    8,372.48x = 65,633,945.86
  5. Step 5: Solve for x
    x = 65,633,945.86/8,372.48
  6. Step 6: Final answer
    x = 7,839.25

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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.