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Finding the Fourth Proportional to 5,698.85, 7,859.50 and 3,708.68

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Solution

The fourth proportional to 5,698.85, 7,859.50 and 3,708.68 is: 5,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.85 : 7,859.50 = 3,708.68 : x
  2. Step 2: Convert to fraction form
    5,698.85/7,859.50 = 3,708.68/x
  3. Step 3: Cross multiply
    5,698.85x = 7,859.50 × 3,708.68
  4. Step 4: Simplify right side
    5,698.85x = 29,148,321.89
  5. Step 5: Solve for x
    x = 29,148,321.89/5,698.85
  6. Step 6: Final answer
    x = 5,114.78

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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.