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Finding the Fourth Proportional to 3,859.68, 5,778.48 and 2,558.56

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Solution

The fourth proportional to 3,859.68, 5,778.48 and 2,558.56 is: 3,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.68 : 5,778.48 = 2,558.56 : x
  2. Step 2: Convert to fraction form
    3,859.68/5,778.48 = 2,558.56/x
  3. Step 3: Cross multiply
    3,859.68x = 5,778.48 × 2,558.56
  4. Step 4: Simplify right side
    3,859.68x = 14,784,587.79
  5. Step 5: Solve for x
    x = 14,784,587.79/3,859.68
  6. Step 6: Final answer
    x = 3,830.52

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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.