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Finding the Fourth Proportional to 6,920.11, 9,549.75 and 3,776.30

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Solution

The fourth proportional to 6,920.11, 9,549.75 and 3,776.30 is: 5,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.11 : 9,549.75 = 3,776.30 : x
  2. Step 2: Convert to fraction form
    6,920.11/9,549.75 = 3,776.30/x
  3. Step 3: Cross multiply
    6,920.11x = 9,549.75 × 3,776.30
  4. Step 4: Simplify right side
    6,920.11x = 36,062,720.93
  5. Step 5: Solve for x
    x = 36,062,720.93/6,920.11
  6. Step 6: Final answer
    x = 5,211.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.