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Finding the Fourth Proportional to 2,757.70, 4,136.55 and 2,101.60

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Solution

The fourth proportional to 2,757.70, 4,136.55 and 2,101.60 is: 3,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.70 : 4,136.55 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    2,757.70/4,136.55 = 2,101.60/x
  3. Step 3: Cross multiply
    2,757.70x = 4,136.55 × 2,101.60
  4. Step 4: Simplify right side
    2,757.70x = 8,693,373.48
  5. Step 5: Solve for x
    x = 8,693,373.48/2,757.70
  6. Step 6: Final answer
    x = 3,152.40

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1.5x scale

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.