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Finding the Fourth Proportional to 3,400.77, 5,098.12 and 1,644.79

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Solution

The fourth proportional to 3,400.77, 5,098.12 and 1,644.79 is: 2,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.77 : 5,098.12 = 1,644.79 : x
  2. Step 2: Convert to fraction form
    3,400.77/5,098.12 = 1,644.79/x
  3. Step 3: Cross multiply
    3,400.77x = 5,098.12 × 1,644.79
  4. Step 4: Simplify right side
    3,400.77x = 8,385,336.79
  5. Step 5: Solve for x
    x = 8,385,336.79/3,400.77
  6. Step 6: Final answer
    x = 2,465.72

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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.