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Finding the Fourth Proportional to 3,673.19, 5,069 and 2,101.29

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Solution

The fourth proportional to 3,673.19, 5,069 and 2,101.29 is: 2,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.19 : 5,069 = 2,101.29 : x
  2. Step 2: Convert to fraction form
    3,673.19/5,069 = 2,101.29/x
  3. Step 3: Cross multiply
    3,673.19x = 5,069 × 2,101.29
  4. Step 4: Simplify right side
    3,673.19x = 10,651,439.01
  5. Step 5: Solve for x
    x = 10,651,439.01/3,673.19
  6. Step 6: Final answer
    x = 2,899.78

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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.