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Finding the Fourth Proportional to 2,686.77, 3,704.04 and 2,649.87

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Solution

The fourth proportional to 2,686.77, 3,704.04 and 2,649.87 is: 3,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.77 : 3,704.04 = 2,649.87 : x
  2. Step 2: Convert to fraction form
    2,686.77/3,704.04 = 2,649.87/x
  3. Step 3: Cross multiply
    2,686.77x = 3,704.04 × 2,649.87
  4. Step 4: Simplify right side
    2,686.77x = 9,815,224.47
  5. Step 5: Solve for x
    x = 9,815,224.47/2,686.77
  6. Step 6: Final answer
    x = 3,653.17

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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.