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Finding the Fourth Proportional to 2,906.16, 4,352.94 and 1,917.84

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Solution

The fourth proportional to 2,906.16, 4,352.94 and 1,917.84 is: 2,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.16 : 4,352.94 = 1,917.84 : x
  2. Step 2: Convert to fraction form
    2,906.16/4,352.94 = 1,917.84/x
  3. Step 3: Cross multiply
    2,906.16x = 4,352.94 × 1,917.84
  4. Step 4: Simplify right side
    2,906.16x = 8,348,242.45
  5. Step 5: Solve for x
    x = 8,348,242.45/2,906.16
  6. Step 6: Final answer
    x = 2,872.60

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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.