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Finding the Fourth Proportional to 3,759.56, 5,631.09 and 3,099.93

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Solution

The fourth proportional to 3,759.56, 5,631.09 and 3,099.93 is: 4,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.56 : 5,631.09 = 3,099.93 : x
  2. Step 2: Convert to fraction form
    3,759.56/5,631.09 = 3,099.93/x
  3. Step 3: Cross multiply
    3,759.56x = 5,631.09 × 3,099.93
  4. Step 4: Simplify right side
    3,759.56x = 17,455,984.82
  5. Step 5: Solve for x
    x = 17,455,984.82/3,759.56
  6. Step 6: Final answer
    x = 4,643.09

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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.