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Finding the Fourth Proportional to 2,563.86, 3,847.63 and 921.79

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Solution

The fourth proportional to 2,563.86, 3,847.63 and 921.79 is: 1,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.86 : 3,847.63 = 921.79 : x
  2. Step 2: Convert to fraction form
    2,563.86/3,847.63 = 921.79/x
  3. Step 3: Cross multiply
    2,563.86x = 3,847.63 × 921.79
  4. Step 4: Simplify right side
    2,563.86x = 3,546,706.86
  5. Step 5: Solve for x
    x = 3,546,706.86/2,563.86
  6. Step 6: Final answer
    x = 1,383.35

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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.