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Finding the Fourth Proportional to 3,763.42, 5,645.05 and 990.27

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Solution

The fourth proportional to 3,763.42, 5,645.05 and 990.27 is: 1,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.42 : 5,645.05 = 990.27 : x
  2. Step 2: Convert to fraction form
    3,763.42/5,645.05 = 990.27/x
  3. Step 3: Cross multiply
    3,763.42x = 5,645.05 × 990.27
  4. Step 4: Simplify right side
    3,763.42x = 5,590,121.19
  5. Step 5: Solve for x
    x = 5,590,121.19/3,763.42
  6. Step 6: Final answer
    x = 1,485.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.