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Finding the Fourth Proportional to 2,706.40, 3,735.12 and 1,587.88

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Solution

The fourth proportional to 2,706.40, 3,735.12 and 1,587.88 is: 2,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.40 : 3,735.12 = 1,587.88 : x
  2. Step 2: Convert to fraction form
    2,706.40/3,735.12 = 1,587.88/x
  3. Step 3: Cross multiply
    2,706.40x = 3,735.12 × 1,587.88
  4. Step 4: Simplify right side
    2,706.40x = 5,930,922.35
  5. Step 5: Solve for x
    x = 5,930,922.35/2,706.40
  6. Step 6: Final answer
    x = 2,191.44

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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.