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Finding the Fourth Proportional to 5,661.80, 7,813.77 and 3,144.73

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Solution

The fourth proportional to 5,661.80, 7,813.77 and 3,144.73 is: 4,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.80 : 7,813.77 = 3,144.73 : x
  2. Step 2: Convert to fraction form
    5,661.80/7,813.77 = 3,144.73/x
  3. Step 3: Cross multiply
    5,661.80x = 7,813.77 × 3,144.73
  4. Step 4: Simplify right side
    5,661.80x = 24,572,157.86
  5. Step 5: Solve for x
    x = 24,572,157.86/5,661.80
  6. Step 6: Final answer
    x = 4,339.99

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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.