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Finding the Fourth Proportional to 5,578.82, 7,698.70 and 3,220.91

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Solution

The fourth proportional to 5,578.82, 7,698.70 and 3,220.91 is: 4,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.82 : 7,698.70 = 3,220.91 : x
  2. Step 2: Convert to fraction form
    5,578.82/7,698.70 = 3,220.91/x
  3. Step 3: Cross multiply
    5,578.82x = 7,698.70 × 3,220.91
  4. Step 4: Simplify right side
    5,578.82x = 24,796,781.32
  5. Step 5: Solve for x
    x = 24,796,781.32/5,578.82
  6. Step 6: Final answer
    x = 4,444.81

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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.