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Finding the Fourth Proportional to 10,606.77, 15,912.10 and 3,491.41

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Solution

The fourth proportional to 10,606.77, 15,912.10 and 3,491.41 is: 5,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.77 : 15,912.10 = 3,491.41 : x
  2. Step 2: Convert to fraction form
    10,606.77/15,912.10 = 3,491.41/x
  3. Step 3: Cross multiply
    10,606.77x = 15,912.10 × 3,491.41
  4. Step 4: Simplify right side
    10,606.77x = 55,555,594.23
  5. Step 5: Solve for x
    x = 55,555,594.23/10,606.77
  6. Step 6: Final answer
    x = 5,237.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.