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Finding the Fourth Proportional to 5,100.07, 7,038.07 and 2,861.95

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Solution

The fourth proportional to 5,100.07, 7,038.07 and 2,861.95 is: 3,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.07 : 7,038.07 = 2,861.95 : x
  2. Step 2: Convert to fraction form
    5,100.07/7,038.07 = 2,861.95/x
  3. Step 3: Cross multiply
    5,100.07x = 7,038.07 × 2,861.95
  4. Step 4: Simplify right side
    5,100.07x = 20,142,604.44
  5. Step 5: Solve for x
    x = 20,142,604.44/5,100.07
  6. Step 6: Final answer
    x = 3,949.48

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Why These Related Problems?

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