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Finding the Fourth Proportional to 3,763.53, 5,192.80 and 2,270.90

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Solution

The fourth proportional to 3,763.53, 5,192.80 and 2,270.90 is: 3,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.53 : 5,192.80 = 2,270.90 : x
  2. Step 2: Convert to fraction form
    3,763.53/5,192.80 = 2,270.90/x
  3. Step 3: Cross multiply
    3,763.53x = 5,192.80 × 2,270.90
  4. Step 4: Simplify right side
    3,763.53x = 11,792,336.82
  5. Step 5: Solve for x
    x = 11,792,336.82/3,763.53
  6. Step 6: Final answer
    x = 3,133.32

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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.