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Finding the Fourth Proportional to 3,189.64, 4,784.79 and 881.14

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Solution

The fourth proportional to 3,189.64, 4,784.79 and 881.14 is: 1,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.64 : 4,784.79 = 881.14 : x
  2. Step 2: Convert to fraction form
    3,189.64/4,784.79 = 881.14/x
  3. Step 3: Cross multiply
    3,189.64x = 4,784.79 × 881.14
  4. Step 4: Simplify right side
    3,189.64x = 4,216,069.86
  5. Step 5: Solve for x
    x = 4,216,069.86/3,189.64
  6. Step 6: Final answer
    x = 1,321.80

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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.