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Finding the Fourth Proportional to 5,742.24, 8,616.78 and 5,377.80

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Solution

The fourth proportional to 5,742.24, 8,616.78 and 5,377.80 is: 8,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.24 : 8,616.78 = 5,377.80 : x
  2. Step 2: Convert to fraction form
    5,742.24/8,616.78 = 5,377.80/x
  3. Step 3: Cross multiply
    5,742.24x = 8,616.78 × 5,377.80
  4. Step 4: Simplify right side
    5,742.24x = 46,339,309.39
  5. Step 5: Solve for x
    x = 46,339,309.39/5,742.24
  6. Step 6: Final answer
    x = 8,069.90

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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.