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Finding the Fourth Proportional to 6,113.62, 9,170.94 and 1,954.22

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Solution

The fourth proportional to 6,113.62, 9,170.94 and 1,954.22 is: 2,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.62 : 9,170.94 = 1,954.22 : x
  2. Step 2: Convert to fraction form
    6,113.62/9,170.94 = 1,954.22/x
  3. Step 3: Cross multiply
    6,113.62x = 9,170.94 × 1,954.22
  4. Step 4: Simplify right side
    6,113.62x = 17,922,034.37
  5. Step 5: Solve for x
    x = 17,922,034.37/6,113.62
  6. Step 6: Final answer
    x = 2,931.49

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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.