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Finding the Fourth Proportional to 3,106, 4,657.92 and 1,157.14

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Solution

The fourth proportional to 3,106, 4,657.92 and 1,157.14 is: 1,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,657.92 = 1,157.14 : x
  2. Step 2: Convert to fraction form
    3,106/4,657.92 = 1,157.14/x
  3. Step 3: Cross multiply
    3,106x = 4,657.92 × 1,157.14
  4. Step 4: Simplify right side
    3,106x = 5,389,865.55
  5. Step 5: Solve for x
    x = 5,389,865.55/3,106
  6. Step 6: Final answer
    x = 1,735.31

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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.