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Finding the Fourth Proportional to 2,709.64, 3,738.98 and 1,590.92

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Solution

The fourth proportional to 2,709.64, 3,738.98 and 1,590.92 is: 2,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.64 : 3,738.98 = 1,590.92 : x
  2. Step 2: Convert to fraction form
    2,709.64/3,738.98 = 1,590.92/x
  3. Step 3: Cross multiply
    2,709.64x = 3,738.98 × 1,590.92
  4. Step 4: Simplify right side
    2,709.64x = 5,948,418.06
  5. Step 5: Solve for x
    x = 5,948,418.06/2,709.64
  6. Step 6: Final answer
    x = 2,195.28

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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.