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Finding the Fourth Proportional to 3,164.39, 4,747.39 and 1,216.07

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Solution

The fourth proportional to 3,164.39, 4,747.39 and 1,216.07 is: 1,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.39 : 4,747.39 = 1,216.07 : x
  2. Step 2: Convert to fraction form
    3,164.39/4,747.39 = 1,216.07/x
  3. Step 3: Cross multiply
    3,164.39x = 4,747.39 × 1,216.07
  4. Step 4: Simplify right side
    3,164.39x = 5,773,158.56
  5. Step 5: Solve for x
    x = 5,773,158.56/3,164.39
  6. Step 6: Final answer
    x = 1,824.41

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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.