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Finding the Fourth Proportional to 6,191.80, 9,282.30 and 3,727.60

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Solution

The fourth proportional to 6,191.80, 9,282.30 and 3,727.60 is: 5,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.80 : 9,282.30 = 3,727.60 : x
  2. Step 2: Convert to fraction form
    6,191.80/9,282.30 = 3,727.60/x
  3. Step 3: Cross multiply
    6,191.80x = 9,282.30 × 3,727.60
  4. Step 4: Simplify right side
    6,191.80x = 34,600,701.48
  5. Step 5: Solve for x
    x = 34,600,701.48/6,191.80
  6. Step 6: Final answer
    x = 5,588.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.