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Finding the Fourth Proportional to 5,207.94, 7,815.15 and 1,747.62

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Solution

The fourth proportional to 5,207.94, 7,815.15 and 1,747.62 is: 2,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.94 : 7,815.15 = 1,747.62 : x
  2. Step 2: Convert to fraction form
    5,207.94/7,815.15 = 1,747.62/x
  3. Step 3: Cross multiply
    5,207.94x = 7,815.15 × 1,747.62
  4. Step 4: Simplify right side
    5,207.94x = 13,657,912.44
  5. Step 5: Solve for x
    x = 13,657,912.44/5,207.94
  6. Step 6: Final answer
    x = 2,622.52

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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.