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Finding the Fourth Proportional to 2,912.21, 4,016.81 and 1,917.17

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Solution

The fourth proportional to 2,912.21, 4,016.81 and 1,917.17 is: 2,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.21 : 4,016.81 = 1,917.17 : x
  2. Step 2: Convert to fraction form
    2,912.21/4,016.81 = 1,917.17/x
  3. Step 3: Cross multiply
    2,912.21x = 4,016.81 × 1,917.17
  4. Step 4: Simplify right side
    2,912.21x = 7,700,907.63
  5. Step 5: Solve for x
    x = 7,700,907.63/2,912.21
  6. Step 6: Final answer
    x = 2,644.35

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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.