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Finding the Fourth Proportional to 3,840.46, 5,760.68 and 2,746.96

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Solution

The fourth proportional to 3,840.46, 5,760.68 and 2,746.96 is: 4,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.46 : 5,760.68 = 2,746.96 : x
  2. Step 2: Convert to fraction form
    3,840.46/5,760.68 = 2,746.96/x
  3. Step 3: Cross multiply
    3,840.46x = 5,760.68 × 2,746.96
  4. Step 4: Simplify right side
    3,840.46x = 15,824,329.40
  5. Step 5: Solve for x
    x = 15,824,329.40/3,840.46
  6. Step 6: Final answer
    x = 4,120.43

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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.