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Finding the Fourth Proportional to 5,890.80, 8,119.84 and 4,469.86

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Solution

The fourth proportional to 5,890.80, 8,119.84 and 4,469.86 is: 6,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.80 : 8,119.84 = 4,469.86 : x
  2. Step 2: Convert to fraction form
    5,890.80/8,119.84 = 4,469.86/x
  3. Step 3: Cross multiply
    5,890.80x = 8,119.84 × 4,469.86
  4. Step 4: Simplify right side
    5,890.80x = 36,294,548.02
  5. Step 5: Solve for x
    x = 36,294,548.02/5,890.80
  6. Step 6: Final answer
    x = 6,161.23

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1.5x scale

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.