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Finding the Fourth Proportional to 3,404.68, 4,698.70 and 1,912.74

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Solution

The fourth proportional to 3,404.68, 4,698.70 and 1,912.74 is: 2,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.68 : 4,698.70 = 1,912.74 : x
  2. Step 2: Convert to fraction form
    3,404.68/4,698.70 = 1,912.74/x
  3. Step 3: Cross multiply
    3,404.68x = 4,698.70 × 1,912.74
  4. Step 4: Simplify right side
    3,404.68x = 8,987,391.44
  5. Step 5: Solve for x
    x = 8,987,391.44/3,404.68
  6. Step 6: Final answer
    x = 2,639.72

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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.