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Finding the Fourth Proportional to 5,103.50, 7,042.83 and 2,895.50

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Solution

The fourth proportional to 5,103.50, 7,042.83 and 2,895.50 is: 3,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.50 : 7,042.83 = 2,895.50 : x
  2. Step 2: Convert to fraction form
    5,103.50/7,042.83 = 2,895.50/x
  3. Step 3: Cross multiply
    5,103.50x = 7,042.83 × 2,895.50
  4. Step 4: Simplify right side
    5,103.50x = 20,392,514.27
  5. Step 5: Solve for x
    x = 20,392,514.27/5,103.50
  6. Step 6: Final answer
    x = 3,995.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.