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Finding the Fourth Proportional to 3,859.98, 5,794.80 and 3,655.86

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Solution

The fourth proportional to 3,859.98, 5,794.80 and 3,655.86 is: 5,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.98 : 5,794.80 = 3,655.86 : x
  2. Step 2: Convert to fraction form
    3,859.98/5,794.80 = 3,655.86/x
  3. Step 3: Cross multiply
    3,859.98x = 5,794.80 × 3,655.86
  4. Step 4: Simplify right side
    3,859.98x = 21,184,977.53
  5. Step 5: Solve for x
    x = 21,184,977.53/3,859.98
  6. Step 6: Final answer
    x = 5,488.36

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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.