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Finding the Fourth Proportional to 3,164.37, 4,747.08 and 1,520.88

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Solution

The fourth proportional to 3,164.37, 4,747.08 and 1,520.88 is: 2,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.37 : 4,747.08 = 1,520.88 : x
  2. Step 2: Convert to fraction form
    3,164.37/4,747.08 = 1,520.88/x
  3. Step 3: Cross multiply
    3,164.37x = 4,747.08 × 1,520.88
  4. Step 4: Simplify right side
    3,164.37x = 7,219,739.03
  5. Step 5: Solve for x
    x = 7,219,739.03/3,164.37
  6. Step 6: Final answer
    x = 2,281.57

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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.