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Finding the Fourth Proportional to 6,711.66, 9,262.68 and 3,728.10

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Solution

The fourth proportional to 6,711.66, 9,262.68 and 3,728.10 is: 5,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.66 : 9,262.68 = 3,728.10 : x
  2. Step 2: Convert to fraction form
    6,711.66/9,262.68 = 3,728.10/x
  3. Step 3: Cross multiply
    6,711.66x = 9,262.68 × 3,728.10
  4. Step 4: Simplify right side
    6,711.66x = 34,532,197.31
  5. Step 5: Solve for x
    x = 34,532,197.31/6,711.66
  6. Step 6: Final answer
    x = 5,145.11

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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.