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Finding the Fourth Proportional to 2,651.68, 3,655.87 and 1,705.78

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Solution

The fourth proportional to 2,651.68, 3,655.87 and 1,705.78 is: 2,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.68 : 3,655.87 = 1,705.78 : x
  2. Step 2: Convert to fraction form
    2,651.68/3,655.87 = 1,705.78/x
  3. Step 3: Cross multiply
    2,651.68x = 3,655.87 × 1,705.78
  4. Step 4: Simplify right side
    2,651.68x = 6,236,109.93
  5. Step 5: Solve for x
    x = 6,236,109.93/2,651.68
  6. Step 6: Final answer
    x = 2,351.76

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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.