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Finding the Fourth Proportional to 3,786.78, 5,680.17 and 1,597.05

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Solution

The fourth proportional to 3,786.78, 5,680.17 and 1,597.05 is: 2,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.78 : 5,680.17 = 1,597.05 : x
  2. Step 2: Convert to fraction form
    3,786.78/5,680.17 = 1,597.05/x
  3. Step 3: Cross multiply
    3,786.78x = 5,680.17 × 1,597.05
  4. Step 4: Simplify right side
    3,786.78x = 9,071,515.50
  5. Step 5: Solve for x
    x = 9,071,515.50/3,786.78
  6. Step 6: Final answer
    x = 2,395.58

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Double scale
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Similar ratio
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1.5x scale

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.