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Finding the Fourth Proportional to 3,763.83, 5,188.95 and 2,505

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Solution

The fourth proportional to 3,763.83, 5,188.95 and 2,505 is: 3,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.83 : 5,188.95 = 2,505 : x
  2. Step 2: Convert to fraction form
    3,763.83/5,188.95 = 2,505/x
  3. Step 3: Cross multiply
    3,763.83x = 5,188.95 × 2,505
  4. Step 4: Simplify right side
    3,763.83x = 12,998,319.75
  5. Step 5: Solve for x
    x = 12,998,319.75/3,763.83
  6. Step 6: Final answer
    x = 3,453.48

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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.