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Finding the Fourth Proportional to 2,606.86, 3,910.14 and 757.93

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Solution

The fourth proportional to 2,606.86, 3,910.14 and 757.93 is: 1,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.86 : 3,910.14 = 757.93 : x
  2. Step 2: Convert to fraction form
    2,606.86/3,910.14 = 757.93/x
  3. Step 3: Cross multiply
    2,606.86x = 3,910.14 × 757.93
  4. Step 4: Simplify right side
    2,606.86x = 2,963,612.41
  5. Step 5: Solve for x
    x = 2,963,612.41/2,606.86
  6. Step 6: Final answer
    x = 1,136.85

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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.