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Finding the Fourth Proportional to 3,644.70, 5,467.08 and 1,047.72

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Solution

The fourth proportional to 3,644.70, 5,467.08 and 1,047.72 is: 1,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.70 : 5,467.08 = 1,047.72 : x
  2. Step 2: Convert to fraction form
    3,644.70/5,467.08 = 1,047.72/x
  3. Step 3: Cross multiply
    3,644.70x = 5,467.08 × 1,047.72
  4. Step 4: Simplify right side
    3,644.70x = 5,727,969.06
  5. Step 5: Solve for x
    x = 5,727,969.06/3,644.70
  6. Step 6: Final answer
    x = 1,571.59

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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.