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Finding the Fourth Proportional to 5,157.75, 7,736.67 and 1,695

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Solution

The fourth proportional to 5,157.75, 7,736.67 and 1,695 is: 2,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.75 : 7,736.67 = 1,695 : x
  2. Step 2: Convert to fraction form
    5,157.75/7,736.67 = 1,695/x
  3. Step 3: Cross multiply
    5,157.75x = 7,736.67 × 1,695
  4. Step 4: Simplify right side
    5,157.75x = 13,113,655.65
  5. Step 5: Solve for x
    x = 13,113,655.65/5,157.75
  6. Step 6: Final answer
    x = 2,542.51

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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.