Home / 3,105.20-4,657.80-913.95

Finding the Fourth Proportional to 3,105.20, 4,657.80 and 913.95

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Solution

The fourth proportional to 3,105.20, 4,657.80 and 913.95 is: 1,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.20 : 4,657.80 = 913.95 : x
  2. Step 2: Convert to fraction form
    3,105.20/4,657.80 = 913.95/x
  3. Step 3: Cross multiply
    3,105.20x = 4,657.80 × 913.95
  4. Step 4: Simplify right side
    3,105.20x = 4,256,996.31
  5. Step 5: Solve for x
    x = 4,256,996.31/3,105.20
  6. Step 6: Final answer
    x = 1,370.93

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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.