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Finding the Fourth Proportional to 2,629.12, 3,943.96 and 874.34

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Solution

The fourth proportional to 2,629.12, 3,943.96 and 874.34 is: 1,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.12 : 3,943.96 = 874.34 : x
  2. Step 2: Convert to fraction form
    2,629.12/3,943.96 = 874.34/x
  3. Step 3: Cross multiply
    2,629.12x = 3,943.96 × 874.34
  4. Step 4: Simplify right side
    2,629.12x = 3,448,361.99
  5. Step 5: Solve for x
    x = 3,448,361.99/2,629.12
  6. Step 6: Final answer
    x = 1,311.60

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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.