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Finding the Fourth Proportional to 3,408.60, 5,112.78 and 943.68

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Solution

The fourth proportional to 3,408.60, 5,112.78 and 943.68 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.60 : 5,112.78 = 943.68 : x
  2. Step 2: Convert to fraction form
    3,408.60/5,112.78 = 943.68/x
  3. Step 3: Cross multiply
    3,408.60x = 5,112.78 × 943.68
  4. Step 4: Simplify right side
    3,408.60x = 4,824,828.23
  5. Step 5: Solve for x
    x = 4,824,828.23/3,408.60
  6. Step 6: Final answer
    x = 1,415.49

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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.