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Finding the Fourth Proportional to 6,812.89, 10,214.15 and 3,523.89

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Solution

The fourth proportional to 6,812.89, 10,214.15 and 3,523.89 is: 5,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.89 : 10,214.15 = 3,523.89 : x
  2. Step 2: Convert to fraction form
    6,812.89/10,214.15 = 3,523.89/x
  3. Step 3: Cross multiply
    6,812.89x = 10,214.15 × 3,523.89
  4. Step 4: Simplify right side
    6,812.89x = 35,993,541.04
  5. Step 5: Solve for x
    x = 35,993,541.04/6,812.89
  6. Step 6: Final answer
    x = 5,283.15

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Why These Related Problems?

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