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Finding the Fourth Proportional to 2,850.26, 3,934.04 and 1,802.12

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Solution

The fourth proportional to 2,850.26, 3,934.04 and 1,802.12 is: 2,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.26 : 3,934.04 = 1,802.12 : x
  2. Step 2: Convert to fraction form
    2,850.26/3,934.04 = 1,802.12/x
  3. Step 3: Cross multiply
    2,850.26x = 3,934.04 × 1,802.12
  4. Step 4: Simplify right side
    2,850.26x = 7,089,583.48
  5. Step 5: Solve for x
    x = 7,089,583.48/2,850.26
  6. Step 6: Final answer
    x = 2,487.35

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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.