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Finding the Fourth Proportional to 8,291.34, 11,441.97 and 4,755.78

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Solution

The fourth proportional to 8,291.34, 11,441.97 and 4,755.78 is: 6,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.34 : 11,441.97 = 4,755.78 : x
  2. Step 2: Convert to fraction form
    8,291.34/11,441.97 = 4,755.78/x
  3. Step 3: Cross multiply
    8,291.34x = 11,441.97 × 4,755.78
  4. Step 4: Simplify right side
    8,291.34x = 54,415,492.09
  5. Step 5: Solve for x
    x = 54,415,492.09/8,291.34
  6. Step 6: Final answer
    x = 6,562.93

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Why These Related Problems?

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