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Finding the Fourth Proportional to 2,709.87, 3,740.39 and 1,590.85

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Solution

The fourth proportional to 2,709.87, 3,740.39 and 1,590.85 is: 2,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.87 : 3,740.39 = 1,590.85 : x
  2. Step 2: Convert to fraction form
    2,709.87/3,740.39 = 1,590.85/x
  3. Step 3: Cross multiply
    2,709.87x = 3,740.39 × 1,590.85
  4. Step 4: Simplify right side
    2,709.87x = 5,950,399.43
  5. Step 5: Solve for x
    x = 5,950,399.43/2,709.87
  6. Step 6: Final answer
    x = 2,195.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.