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Finding the Fourth Proportional to 3,762, 5,189.93 and 2,269.09

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Solution

The fourth proportional to 3,762, 5,189.93 and 2,269.09 is: 3,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 5,189.93 = 2,269.09 : x
  2. Step 2: Convert to fraction form
    3,762/5,189.93 = 2,269.09/x
  3. Step 3: Cross multiply
    3,762x = 5,189.93 × 2,269.09
  4. Step 4: Simplify right side
    3,762x = 11,776,418.26
  5. Step 5: Solve for x
    x = 11,776,418.26/3,762
  6. Step 6: Final answer
    x = 3,130.36

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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.