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Finding the Fourth Proportional to 2,706.78, 3,735.60 and 1,587.60

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Solution

The fourth proportional to 2,706.78, 3,735.60 and 1,587.60 is: 2,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.78 : 3,735.60 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    2,706.78/3,735.60 = 1,587.60/x
  3. Step 3: Cross multiply
    2,706.78x = 3,735.60 × 1,587.60
  4. Step 4: Simplify right side
    2,706.78x = 5,930,638.56
  5. Step 5: Solve for x
    x = 5,930,638.56/2,706.78
  6. Step 6: Final answer
    x = 2,191.03

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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.