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Finding the Fourth Proportional to 5,137.74, 7,704.56 and 1,805.00

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Solution

The fourth proportional to 5,137.74, 7,704.56 and 1,805.00 is: 2,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.74 : 7,704.56 = 1,805.00 : x
  2. Step 2: Convert to fraction form
    5,137.74/7,704.56 = 1,805.00/x
  3. Step 3: Cross multiply
    5,137.74x = 7,704.56 × 1,805.00
  4. Step 4: Simplify right side
    5,137.74x = 13,906,683.25
  5. Step 5: Solve for x
    x = 13,906,683.25/5,137.74
  6. Step 6: Final answer
    x = 2,706.77

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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.