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Finding the Fourth Proportional to 6,813.64, 10,220.89 and 1,815.93

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Solution

The fourth proportional to 6,813.64, 10,220.89 and 1,815.93 is: 2,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.64 : 10,220.89 = 1,815.93 : x
  2. Step 2: Convert to fraction form
    6,813.64/10,220.89 = 1,815.93/x
  3. Step 3: Cross multiply
    6,813.64x = 10,220.89 × 1,815.93
  4. Step 4: Simplify right side
    6,813.64x = 18,560,420.78
  5. Step 5: Solve for x
    x = 18,560,420.78/6,813.64
  6. Step 6: Final answer
    x = 2,724.01

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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.