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Finding the Fourth Proportional to 2,706.06, 4,058.58 and 757.80

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Solution

The fourth proportional to 2,706.06, 4,058.58 and 757.80 is: 1,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.06 : 4,058.58 = 757.80 : x
  2. Step 2: Convert to fraction form
    2,706.06/4,058.58 = 757.80/x
  3. Step 3: Cross multiply
    2,706.06x = 4,058.58 × 757.80
  4. Step 4: Simplify right side
    2,706.06x = 3,075,591.92
  5. Step 5: Solve for x
    x = 3,075,591.92/2,706.06
  6. Step 6: Final answer
    x = 1,136.56

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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.