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Finding the Fourth Proportional to 5,643.08, 7,790.11 and 3,757.80

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Solution

The fourth proportional to 5,643.08, 7,790.11 and 3,757.80 is: 5,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.08 : 7,790.11 = 3,757.80 : x
  2. Step 2: Convert to fraction form
    5,643.08/7,790.11 = 3,757.80/x
  3. Step 3: Cross multiply
    5,643.08x = 7,790.11 × 3,757.80
  4. Step 4: Simplify right side
    5,643.08x = 29,273,675.36
  5. Step 5: Solve for x
    x = 29,273,675.36/5,643.08
  6. Step 6: Final answer
    x = 5,187.54

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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.