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Finding the Fourth Proportional to 2,109.00, 2,910.67 and 1,549.66

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Solution

The fourth proportional to 2,109.00, 2,910.67 and 1,549.66 is: 2,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.00 : 2,910.67 = 1,549.66 : x
  2. Step 2: Convert to fraction form
    2,109.00/2,910.67 = 1,549.66/x
  3. Step 3: Cross multiply
    2,109.00x = 2,910.67 × 1,549.66
  4. Step 4: Simplify right side
    2,109.00x = 4,510,537.72
  5. Step 5: Solve for x
    x = 4,510,537.72/2,109.00
  6. Step 6: Final answer
    x = 2,138.71

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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.