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Finding the Fourth Proportional to 2,938.45, 4,408.36 and 858.49

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Solution

The fourth proportional to 2,938.45, 4,408.36 and 858.49 is: 1,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.45 : 4,408.36 = 858.49 : x
  2. Step 2: Convert to fraction form
    2,938.45/4,408.36 = 858.49/x
  3. Step 3: Cross multiply
    2,938.45x = 4,408.36 × 858.49
  4. Step 4: Simplify right side
    2,938.45x = 3,784,517.23
  5. Step 5: Solve for x
    x = 3,784,517.23/2,938.45
  6. Step 6: Final answer
    x = 1,287.93

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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.