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Finding the Fourth Proportional to 5,175.93, 7,763.79 and 1,889.01

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Solution

The fourth proportional to 5,175.93, 7,763.79 and 1,889.01 is: 2,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.93 : 7,763.79 = 1,889.01 : x
  2. Step 2: Convert to fraction form
    5,175.93/7,763.79 = 1,889.01/x
  3. Step 3: Cross multiply
    5,175.93x = 7,763.79 × 1,889.01
  4. Step 4: Simplify right side
    5,175.93x = 14,665,876.95
  5. Step 5: Solve for x
    x = 14,665,876.95/5,175.93
  6. Step 6: Final answer
    x = 2,833.48

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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.