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Finding the Fourth Proportional to 3,709.66, 5,559.63 and 2,731.18

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Solution

The fourth proportional to 3,709.66, 5,559.63 and 2,731.18 is: 4,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.66 : 5,559.63 = 2,731.18 : x
  2. Step 2: Convert to fraction form
    3,709.66/5,559.63 = 2,731.18/x
  3. Step 3: Cross multiply
    3,709.66x = 5,559.63 × 2,731.18
  4. Step 4: Simplify right side
    3,709.66x = 15,184,350.26
  5. Step 5: Solve for x
    x = 15,184,350.26/3,709.66
  6. Step 6: Final answer
    x = 4,093.19

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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.