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Finding the Fourth Proportional to 5,105.90, 7,643.97 and 3,795.45

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Solution

The fourth proportional to 5,105.90, 7,643.97 and 3,795.45 is: 5,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.90 : 7,643.97 = 3,795.45 : x
  2. Step 2: Convert to fraction form
    5,105.90/7,643.97 = 3,795.45/x
  3. Step 3: Cross multiply
    5,105.90x = 7,643.97 × 3,795.45
  4. Step 4: Simplify right side
    5,105.90x = 29,012,305.94
  5. Step 5: Solve for x
    x = 29,012,305.94/5,105.90
  6. Step 6: Final answer
    x = 5,682.12

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1.5x scale

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.