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Finding the Fourth Proportional to 3,106, 4,659.08 and 1,157.82

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Solution

The fourth proportional to 3,106, 4,659.08 and 1,157.82 is: 1,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,659.08 = 1,157.82 : x
  2. Step 2: Convert to fraction form
    3,106/4,659.08 = 1,157.82/x
  3. Step 3: Cross multiply
    3,106x = 4,659.08 × 1,157.82
  4. Step 4: Simplify right side
    3,106x = 5,394,376.01
  5. Step 5: Solve for x
    x = 5,394,376.01/3,106
  6. Step 6: Final answer
    x = 1,736.76

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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.