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Finding the Fourth Proportional to 8,491.11, 11,719.13 and 4,954.31

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Solution

The fourth proportional to 8,491.11, 11,719.13 and 4,954.31 is: 6,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.11 : 11,719.13 = 4,954.31 : x
  2. Step 2: Convert to fraction form
    8,491.11/11,719.13 = 4,954.31/x
  3. Step 3: Cross multiply
    8,491.11x = 11,719.13 × 4,954.31
  4. Step 4: Simplify right side
    8,491.11x = 58,060,257.32
  5. Step 5: Solve for x
    x = 58,060,257.32/8,491.11
  6. Step 6: Final answer
    x = 6,837.77

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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.