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Finding the Fourth Proportional to 3,107.84, 4,288.84 and 1,781.60

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Solution

The fourth proportional to 3,107.84, 4,288.84 and 1,781.60 is: 2,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.84 : 4,288.84 = 1,781.60 : x
  2. Step 2: Convert to fraction form
    3,107.84/4,288.84 = 1,781.60/x
  3. Step 3: Cross multiply
    3,107.84x = 4,288.84 × 1,781.60
  4. Step 4: Simplify right side
    3,107.84x = 7,640,997.34
  5. Step 5: Solve for x
    x = 7,640,997.34/3,107.84
  6. Step 6: Final answer
    x = 2,458.62

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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.