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Finding the Fourth Proportional to 5,157.65, 7,734.11 and 2,818.44

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Solution

The fourth proportional to 5,157.65, 7,734.11 and 2,818.44 is: 4,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.65 : 7,734.11 = 2,818.44 : x
  2. Step 2: Convert to fraction form
    5,157.65/7,734.11 = 2,818.44/x
  3. Step 3: Cross multiply
    5,157.65x = 7,734.11 × 2,818.44
  4. Step 4: Simplify right side
    5,157.65x = 21,798,072.23
  5. Step 5: Solve for x
    x = 21,798,072.23/5,157.65
  6. Step 6: Final answer
    x = 4,226.36

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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.