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Finding the Fourth Proportional to 1,911.84, 2,868.18 and 757.56

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Solution

The fourth proportional to 1,911.84, 2,868.18 and 757.56 is: 1,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.84 : 2,868.18 = 757.56 : x
  2. Step 2: Convert to fraction form
    1,911.84/2,868.18 = 757.56/x
  3. Step 3: Cross multiply
    1,911.84x = 2,868.18 × 757.56
  4. Step 4: Simplify right side
    1,911.84x = 2,172,818.44
  5. Step 5: Solve for x
    x = 2,172,818.44/1,911.84
  6. Step 6: Final answer
    x = 1,136.51

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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.