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Finding the Fourth Proportional to 3,658.66, 5,050.62 and 2,399.80

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Solution

The fourth proportional to 3,658.66, 5,050.62 and 2,399.80 is: 3,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.66 : 5,050.62 = 2,399.80 : x
  2. Step 2: Convert to fraction form
    3,658.66/5,050.62 = 2,399.80/x
  3. Step 3: Cross multiply
    3,658.66x = 5,050.62 × 2,399.80
  4. Step 4: Simplify right side
    3,658.66x = 12,120,477.88
  5. Step 5: Solve for x
    x = 12,120,477.88/3,658.66
  6. Step 6: Final answer
    x = 3,312.82

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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.