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Finding the Fourth Proportional to 3,756.84, 5,640.21 and 2,515.41

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Solution

The fourth proportional to 3,756.84, 5,640.21 and 2,515.41 is: 3,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.84 : 5,640.21 = 2,515.41 : x
  2. Step 2: Convert to fraction form
    3,756.84/5,640.21 = 2,515.41/x
  3. Step 3: Cross multiply
    3,756.84x = 5,640.21 × 2,515.41
  4. Step 4: Simplify right side
    3,756.84x = 14,187,440.64
  5. Step 5: Solve for x
    x = 14,187,440.64/3,756.84
  6. Step 6: Final answer
    x = 3,776.43

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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.