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Finding the Fourth Proportional to 3,883.89, 5,825.77 and 962.19

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Solution

The fourth proportional to 3,883.89, 5,825.77 and 962.19 is: 1,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.89 : 5,825.77 = 962.19 : x
  2. Step 2: Convert to fraction form
    3,883.89/5,825.77 = 962.19/x
  3. Step 3: Cross multiply
    3,883.89x = 5,825.77 × 962.19
  4. Step 4: Simplify right side
    3,883.89x = 5,605,497.64
  5. Step 5: Solve for x
    x = 5,605,497.64/3,883.89
  6. Step 6: Final answer
    x = 1,443.27

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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.