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Finding the Fourth Proportional to 3,491.25, 5,236.47 and 894.21

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Solution

The fourth proportional to 3,491.25, 5,236.47 and 894.21 is: 1,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.25 : 5,236.47 = 894.21 : x
  2. Step 2: Convert to fraction form
    3,491.25/5,236.47 = 894.21/x
  3. Step 3: Cross multiply
    3,491.25x = 5,236.47 × 894.21
  4. Step 4: Simplify right side
    3,491.25x = 4,682,503.84
  5. Step 5: Solve for x
    x = 4,682,503.84/3,491.25
  6. Step 6: Final answer
    x = 1,341.21

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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.