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Finding the Fourth Proportional to 3,865.22, 5,792.58 and 1,780.64

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Solution

The fourth proportional to 3,865.22, 5,792.58 and 1,780.64 is: 2,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.22 : 5,792.58 = 1,780.64 : x
  2. Step 2: Convert to fraction form
    3,865.22/5,792.58 = 1,780.64/x
  3. Step 3: Cross multiply
    3,865.22x = 5,792.58 × 1,780.64
  4. Step 4: Simplify right side
    3,865.22x = 10,314,470.69
  5. Step 5: Solve for x
    x = 10,314,470.69/3,865.22
  6. Step 6: Final answer
    x = 2,668.54

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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.