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Finding the Fourth Proportional to 2,691.69, 3,712.55 and 2,028.57

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Solution

The fourth proportional to 2,691.69, 3,712.55 and 2,028.57 is: 2,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.69 : 3,712.55 = 2,028.57 : x
  2. Step 2: Convert to fraction form
    2,691.69/3,712.55 = 2,028.57/x
  3. Step 3: Cross multiply
    2,691.69x = 3,712.55 × 2,028.57
  4. Step 4: Simplify right side
    2,691.69x = 7,531,157.41
  5. Step 5: Solve for x
    x = 7,531,157.41/2,691.69
  6. Step 6: Final answer
    x = 2,797.93

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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.