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Finding the Fourth Proportional to 3,209.78, 4,815.14 and 1,729.77

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Solution

The fourth proportional to 3,209.78, 4,815.14 and 1,729.77 is: 2,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.78 : 4,815.14 = 1,729.77 : x
  2. Step 2: Convert to fraction form
    3,209.78/4,815.14 = 1,729.77/x
  3. Step 3: Cross multiply
    3,209.78x = 4,815.14 × 1,729.77
  4. Step 4: Simplify right side
    3,209.78x = 8,329,076.07
  5. Step 5: Solve for x
    x = 8,329,076.07/3,209.78
  6. Step 6: Final answer
    x = 2,594.91

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1.5x scale

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.