Home / 3,792-5,684.10-1,451.45

Finding the Fourth Proportional to 3,792, 5,684.10 and 1,451.45

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Solution

The fourth proportional to 3,792, 5,684.10 and 1,451.45 is: 2,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,684.10 = 1,451.45 : x
  2. Step 2: Convert to fraction form
    3,792/5,684.10 = 1,451.45/x
  3. Step 3: Cross multiply
    3,792x = 5,684.10 × 1,451.45
  4. Step 4: Simplify right side
    3,792x = 8,250,158.52
  5. Step 5: Solve for x
    x = 8,250,158.52/3,792
  6. Step 6: Final answer
    x = 2,175.67

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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.