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Finding the Fourth Proportional to 2,771.70, 4,138.10 and 2,528.70

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Solution

The fourth proportional to 2,771.70, 4,138.10 and 2,528.70 is: 3,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.70 : 4,138.10 = 2,528.70 : x
  2. Step 2: Convert to fraction form
    2,771.70/4,138.10 = 2,528.70/x
  3. Step 3: Cross multiply
    2,771.70x = 4,138.10 × 2,528.70
  4. Step 4: Simplify right side
    2,771.70x = 10,464,000.83
  5. Step 5: Solve for x
    x = 10,464,000.83/2,771.70
  6. Step 6: Final answer
    x = 3,775.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.