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Finding the Fourth Proportional to 6,858.01, 10,287.21 and 2,178.04

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Solution

The fourth proportional to 6,858.01, 10,287.21 and 2,178.04 is: 3,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.01 : 10,287.21 = 2,178.04 : x
  2. Step 2: Convert to fraction form
    6,858.01/10,287.21 = 2,178.04/x
  3. Step 3: Cross multiply
    6,858.01x = 10,287.21 × 2,178.04
  4. Step 4: Simplify right side
    6,858.01x = 22,405,954.87
  5. Step 5: Solve for x
    x = 22,405,954.87/6,858.01
  6. Step 6: Final answer
    x = 3,267.12

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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.