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Finding the Fourth Proportional to 6,808.62, 10,144.45 and 6,361.50

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Solution

The fourth proportional to 6,808.62, 10,144.45 and 6,361.50 is: 9,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.62 : 10,144.45 = 6,361.50 : x
  2. Step 2: Convert to fraction form
    6,808.62/10,144.45 = 6,361.50/x
  3. Step 3: Cross multiply
    6,808.62x = 10,144.45 × 6,361.50
  4. Step 4: Simplify right side
    6,808.62x = 64,533,918.68
  5. Step 5: Solve for x
    x = 64,533,918.68/6,808.62
  6. Step 6: Final answer
    x = 9,478.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.