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Finding the Fourth Proportional to 2,709.74, 4,064.34 and 1,837.84

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Solution

The fourth proportional to 2,709.74, 4,064.34 and 1,837.84 is: 2,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.74 : 4,064.34 = 1,837.84 : x
  2. Step 2: Convert to fraction form
    2,709.74/4,064.34 = 1,837.84/x
  3. Step 3: Cross multiply
    2,709.74x = 4,064.34 × 1,837.84
  4. Step 4: Simplify right side
    2,709.74x = 7,469,606.63
  5. Step 5: Solve for x
    x = 7,469,606.63/2,709.74
  6. Step 6: Final answer
    x = 2,756.58

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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.