Home / 3,106.85-4,660.50-1,159.07

Finding the Fourth Proportional to 3,106.85, 4,660.50 and 1,159.07

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Solution

The fourth proportional to 3,106.85, 4,660.50 and 1,159.07 is: 1,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.85 : 4,660.50 = 1,159.07 : x
  2. Step 2: Convert to fraction form
    3,106.85/4,660.50 = 1,159.07/x
  3. Step 3: Cross multiply
    3,106.85x = 4,660.50 × 1,159.07
  4. Step 4: Simplify right side
    3,106.85x = 5,401,845.74
  5. Step 5: Solve for x
    x = 5,401,845.74/3,106.85
  6. Step 6: Final answer
    x = 1,738.69

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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.