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Finding the Fourth Proportional to 3,867.74, 5,337.74 and 2,189.16

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Solution

The fourth proportional to 3,867.74, 5,337.74 and 2,189.16 is: 3,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.74 : 5,337.74 = 2,189.16 : x
  2. Step 2: Convert to fraction form
    3,867.74/5,337.74 = 2,189.16/x
  3. Step 3: Cross multiply
    3,867.74x = 5,337.74 × 2,189.16
  4. Step 4: Simplify right side
    3,867.74x = 11,685,166.90
  5. Step 5: Solve for x
    x = 11,685,166.90/3,867.74
  6. Step 6: Final answer
    x = 3,021.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.