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Finding the Fourth Proportional to 3,184.39, 4,775.77 and 991.99

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Solution

The fourth proportional to 3,184.39, 4,775.77 and 991.99 is: 1,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.39 : 4,775.77 = 991.99 : x
  2. Step 2: Convert to fraction form
    3,184.39/4,775.77 = 991.99/x
  3. Step 3: Cross multiply
    3,184.39x = 4,775.77 × 991.99
  4. Step 4: Simplify right side
    3,184.39x = 4,737,523.29
  5. Step 5: Solve for x
    x = 4,737,523.29/3,184.39
  6. Step 6: Final answer
    x = 1,487.73

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1.5x scale

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.