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Finding the Fourth Proportional to 2,708.55, 4,062.97 and 859.81

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Solution

The fourth proportional to 2,708.55, 4,062.97 and 859.81 is: 1,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.55 : 4,062.97 = 859.81 : x
  2. Step 2: Convert to fraction form
    2,708.55/4,062.97 = 859.81/x
  3. Step 3: Cross multiply
    2,708.55x = 4,062.97 × 859.81
  4. Step 4: Simplify right side
    2,708.55x = 3,493,369.93
  5. Step 5: Solve for x
    x = 3,493,369.93/2,708.55
  6. Step 6: Final answer
    x = 1,289.76

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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.