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Finding the Fourth Proportional to 3,708.86, 5,113.59 and 3,204.86

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Solution

The fourth proportional to 3,708.86, 5,113.59 and 3,204.86 is: 4,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.86 : 5,113.59 = 3,204.86 : x
  2. Step 2: Convert to fraction form
    3,708.86/5,113.59 = 3,204.86/x
  3. Step 3: Cross multiply
    3,708.86x = 5,113.59 × 3,204.86
  4. Step 4: Simplify right side
    3,708.86x = 16,388,340.05
  5. Step 5: Solve for x
    x = 16,388,340.05/3,708.86
  6. Step 6: Final answer
    x = 4,418.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.