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Finding the Fourth Proportional to 3,102.48, 4,652.49 and 1,369.89

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Solution

The fourth proportional to 3,102.48, 4,652.49 and 1,369.89 is: 2,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,652.49 = 1,369.89 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,652.49 = 1,369.89/x
  3. Step 3: Cross multiply
    3,102.48x = 4,652.49 × 1,369.89
  4. Step 4: Simplify right side
    3,102.48x = 6,373,399.53
  5. Step 5: Solve for x
    x = 6,373,399.53/3,102.48
  6. Step 6: Final answer
    x = 2,054.29

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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.