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Finding the Fourth Proportional to 2,758.70, 3,810.14 and 1,872.96

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Solution

The fourth proportional to 2,758.70, 3,810.14 and 1,872.96 is: 2,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.70 : 3,810.14 = 1,872.96 : x
  2. Step 2: Convert to fraction form
    2,758.70/3,810.14 = 1,872.96/x
  3. Step 3: Cross multiply
    2,758.70x = 3,810.14 × 1,872.96
  4. Step 4: Simplify right side
    2,758.70x = 7,136,239.81
  5. Step 5: Solve for x
    x = 7,136,239.81/2,758.70
  6. Step 6: Final answer
    x = 2,586.81

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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.