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Finding the Fourth Proportional to 5,175.34, 7,758 and 2,054.32

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Solution

The fourth proportional to 5,175.34, 7,758 and 2,054.32 is: 3,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.34 : 7,758 = 2,054.32 : x
  2. Step 2: Convert to fraction form
    5,175.34/7,758 = 2,054.32/x
  3. Step 3: Cross multiply
    5,175.34x = 7,758 × 2,054.32
  4. Step 4: Simplify right side
    5,175.34x = 15,937,414.56
  5. Step 5: Solve for x
    x = 15,937,414.56/5,175.34
  6. Step 6: Final answer
    x = 3,079.49

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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.