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Finding the Fourth Proportional to 9,175.74, 13,771.17 and 3,980.94

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Solution

The fourth proportional to 9,175.74, 13,771.17 and 3,980.94 is: 5,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.74 : 13,771.17 = 3,980.94 : x
  2. Step 2: Convert to fraction form
    9,175.74/13,771.17 = 3,980.94/x
  3. Step 3: Cross multiply
    9,175.74x = 13,771.17 × 3,980.94
  4. Step 4: Simplify right side
    9,175.74x = 54,822,201.50
  5. Step 5: Solve for x
    x = 54,822,201.50/9,175.74
  6. Step 6: Final answer
    x = 5,974.69

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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.