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Finding the Fourth Proportional to 3,112.74, 4,297.14 and 1,934.19

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Solution

The fourth proportional to 3,112.74, 4,297.14 and 1,934.19 is: 2,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.74 : 4,297.14 = 1,934.19 : x
  2. Step 2: Convert to fraction form
    3,112.74/4,297.14 = 1,934.19/x
  3. Step 3: Cross multiply
    3,112.74x = 4,297.14 × 1,934.19
  4. Step 4: Simplify right side
    3,112.74x = 8,311,485.22
  5. Step 5: Solve for x
    x = 8,311,485.22/3,112.74
  6. Step 6: Final answer
    x = 2,670.15

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Double scale
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1.5x scale

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.