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Finding the Fourth Proportional to 3,102.37, 4,653.79 and 881.16

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Solution

The fourth proportional to 3,102.37, 4,653.79 and 881.16 is: 1,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.37 : 4,653.79 = 881.16 : x
  2. Step 2: Convert to fraction form
    3,102.37/4,653.79 = 881.16/x
  3. Step 3: Cross multiply
    3,102.37x = 4,653.79 × 881.16
  4. Step 4: Simplify right side
    3,102.37x = 4,100,733.60
  5. Step 5: Solve for x
    x = 4,100,733.60/3,102.37
  6. Step 6: Final answer
    x = 1,321.81

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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.