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Finding the Fourth Proportional to 5,658.86, 8,488.40 and 1,961.21

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Solution

The fourth proportional to 5,658.86, 8,488.40 and 1,961.21 is: 2,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.86 : 8,488.40 = 1,961.21 : x
  2. Step 2: Convert to fraction form
    5,658.86/8,488.40 = 1,961.21/x
  3. Step 3: Cross multiply
    5,658.86x = 8,488.40 × 1,961.21
  4. Step 4: Simplify right side
    5,658.86x = 16,647,525.16
  5. Step 5: Solve for x
    x = 16,647,525.16/5,658.86
  6. Step 6: Final answer
    x = 2,941.85

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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.