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Finding the Fourth Proportional to 6,813.46, 10,213.80 and 2,656.14

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Solution

The fourth proportional to 6,813.46, 10,213.80 and 2,656.14 is: 3,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.46 : 10,213.80 = 2,656.14 : x
  2. Step 2: Convert to fraction form
    6,813.46/10,213.80 = 2,656.14/x
  3. Step 3: Cross multiply
    6,813.46x = 10,213.80 × 2,656.14
  4. Step 4: Simplify right side
    6,813.46x = 27,129,282.73
  5. Step 5: Solve for x
    x = 27,129,282.73/6,813.46
  6. Step 6: Final answer
    x = 3,981.72

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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.