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Finding the Fourth Proportional to 2,605.40, 3,908.90 and 2,057.80

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Solution

The fourth proportional to 2,605.40, 3,908.90 and 2,057.80 is: 3,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.40 : 3,908.90 = 2,057.80 : x
  2. Step 2: Convert to fraction form
    2,605.40/3,908.90 = 2,057.80/x
  3. Step 3: Cross multiply
    2,605.40x = 3,908.90 × 2,057.80
  4. Step 4: Simplify right side
    2,605.40x = 8,043,734.42
  5. Step 5: Solve for x
    x = 8,043,734.42/2,605.40
  6. Step 6: Final answer
    x = 3,087.33

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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.