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Finding the Fourth Proportional to 3,802.80, 5,208.48 and 3,578.60

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Solution

The fourth proportional to 3,802.80, 5,208.48 and 3,578.60 is: 4,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.80 : 5,208.48 = 3,578.60 : x
  2. Step 2: Convert to fraction form
    3,802.80/5,208.48 = 3,578.60/x
  3. Step 3: Cross multiply
    3,802.80x = 5,208.48 × 3,578.60
  4. Step 4: Simplify right side
    3,802.80x = 18,639,066.53
  5. Step 5: Solve for x
    x = 18,639,066.53/3,802.80
  6. Step 6: Final answer
    x = 4,901.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.