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Finding the Fourth Proportional to 2,757.74, 4,136.63 and 705.74

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Solution

The fourth proportional to 2,757.74, 4,136.63 and 705.74 is: 1,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.74 : 4,136.63 = 705.74 : x
  2. Step 2: Convert to fraction form
    2,757.74/4,136.63 = 705.74/x
  3. Step 3: Cross multiply
    2,757.74x = 4,136.63 × 705.74
  4. Step 4: Simplify right side
    2,757.74x = 2,919,385.26
  5. Step 5: Solve for x
    x = 2,919,385.26/2,757.74
  6. Step 6: Final answer
    x = 1,058.62

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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.