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Finding the Fourth Proportional to 3,759.76, 5,640.79 and 1,681.51

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Solution

The fourth proportional to 3,759.76, 5,640.79 and 1,681.51 is: 2,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.76 : 5,640.79 = 1,681.51 : x
  2. Step 2: Convert to fraction form
    3,759.76/5,640.79 = 1,681.51/x
  3. Step 3: Cross multiply
    3,759.76x = 5,640.79 × 1,681.51
  4. Step 4: Simplify right side
    3,759.76x = 9,485,066.04
  5. Step 5: Solve for x
    x = 9,485,066.04/3,759.76
  6. Step 6: Final answer
    x = 2,522.78

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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.