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Finding the Fourth Proportional to 3,491.36, 5,236.96 and 894.28

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Solution

The fourth proportional to 3,491.36, 5,236.96 and 894.28 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.36 : 5,236.96 = 894.28 : x
  2. Step 2: Convert to fraction form
    3,491.36/5,236.96 = 894.28/x
  3. Step 3: Cross multiply
    3,491.36x = 5,236.96 × 894.28
  4. Step 4: Simplify right side
    3,491.36x = 4,683,308.59
  5. Step 5: Solve for x
    x = 4,683,308.59/3,491.36
  6. Step 6: Final answer
    x = 1,341.40

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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.