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Finding the Fourth Proportional to 3,491.72, 5,237.84 and 894.64

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Solution

The fourth proportional to 3,491.72, 5,237.84 and 894.64 is: 1,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.72 : 5,237.84 = 894.64 : x
  2. Step 2: Convert to fraction form
    3,491.72/5,237.84 = 894.64/x
  3. Step 3: Cross multiply
    3,491.72x = 5,237.84 × 894.64
  4. Step 4: Simplify right side
    3,491.72x = 4,685,981.18
  5. Step 5: Solve for x
    x = 4,685,981.18/3,491.72
  6. Step 6: Final answer
    x = 1,342.03

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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.