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Finding the Fourth Proportional to 2,771.96, 4,158.41 and 923.54

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Solution

The fourth proportional to 2,771.96, 4,158.41 and 923.54 is: 1,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 4,158.41 = 923.54 : x
  2. Step 2: Convert to fraction form
    2,771.96/4,158.41 = 923.54/x
  3. Step 3: Cross multiply
    2,771.96x = 4,158.41 × 923.54
  4. Step 4: Simplify right side
    2,771.96x = 3,840,432.56
  5. Step 5: Solve for x
    x = 3,840,432.56/2,771.96
  6. Step 6: Final answer
    x = 1,385.46

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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.