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Finding the Fourth Proportional to 3,404.52, 5,106.80 and 1,213.60

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Solution

The fourth proportional to 3,404.52, 5,106.80 and 1,213.60 is: 1,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.52 : 5,106.80 = 1,213.60 : x
  2. Step 2: Convert to fraction form
    3,404.52/5,106.80 = 1,213.60/x
  3. Step 3: Cross multiply
    3,404.52x = 5,106.80 × 1,213.60
  4. Step 4: Simplify right side
    3,404.52x = 6,197,612.48
  5. Step 5: Solve for x
    x = 6,197,612.48/3,404.52
  6. Step 6: Final answer
    x = 1,820.41

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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.