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Finding the Fourth Proportional to 3,894.74, 5,840.74 and 1,120.67

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Solution

The fourth proportional to 3,894.74, 5,840.74 and 1,120.67 is: 1,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.74 : 5,840.74 = 1,120.67 : x
  2. Step 2: Convert to fraction form
    3,894.74/5,840.74 = 1,120.67/x
  3. Step 3: Cross multiply
    3,894.74x = 5,840.74 × 1,120.67
  4. Step 4: Simplify right side
    3,894.74x = 6,545,525.06
  5. Step 5: Solve for x
    x = 6,545,525.06/3,894.74
  6. Step 6: Final answer
    x = 1,680.61

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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.