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Finding the Fourth Proportional to 3,404.10, 4,698.10 and 2,077.78

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Solution

The fourth proportional to 3,404.10, 4,698.10 and 2,077.78 is: 2,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.10 : 4,698.10 = 2,077.78 : x
  2. Step 2: Convert to fraction form
    3,404.10/4,698.10 = 2,077.78/x
  3. Step 3: Cross multiply
    3,404.10x = 4,698.10 × 2,077.78
  4. Step 4: Simplify right side
    3,404.10x = 9,761,618.22
  5. Step 5: Solve for x
    x = 9,761,618.22/3,404.10
  6. Step 6: Final answer
    x = 2,867.61

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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.