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Finding the Fourth Proportional to 3,835.02, 5,753.74 and 1,369.78

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Solution

The fourth proportional to 3,835.02, 5,753.74 and 1,369.78 is: 2,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.02 : 5,753.74 = 1,369.78 : x
  2. Step 2: Convert to fraction form
    3,835.02/5,753.74 = 1,369.78/x
  3. Step 3: Cross multiply
    3,835.02x = 5,753.74 × 1,369.78
  4. Step 4: Simplify right side
    3,835.02x = 7,881,357.98
  5. Step 5: Solve for x
    x = 7,881,357.98/3,835.02
  6. Step 6: Final answer
    x = 2,055.10

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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.