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Finding the Fourth Proportional to 3,106.81, 4,660.43 and 1,159

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Solution

The fourth proportional to 3,106.81, 4,660.43 and 1,159 is: 1,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.81 : 4,660.43 = 1,159 : x
  2. Step 2: Convert to fraction form
    3,106.81/4,660.43 = 1,159/x
  3. Step 3: Cross multiply
    3,106.81x = 4,660.43 × 1,159
  4. Step 4: Simplify right side
    3,106.81x = 5,401,438.37
  5. Step 5: Solve for x
    x = 5,401,438.37/3,106.81
  6. Step 6: Final answer
    x = 1,738.58

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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.