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Finding the Fourth Proportional to 2,687.63, 3,709.33 and 1,640.30

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Solution

The fourth proportional to 2,687.63, 3,709.33 and 1,640.30 is: 2,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.63 : 3,709.33 = 1,640.30 : x
  2. Step 2: Convert to fraction form
    2,687.63/3,709.33 = 1,640.30/x
  3. Step 3: Cross multiply
    2,687.63x = 3,709.33 × 1,640.30
  4. Step 4: Simplify right side
    2,687.63x = 6,084,391.35
  5. Step 5: Solve for x
    x = 6,084,391.35/2,687.63
  6. Step 6: Final answer
    x = 2,263.85

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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.