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Finding the Fourth Proportional to 3,189.47, 4,784.48 and 880.97

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Solution

The fourth proportional to 3,189.47, 4,784.48 and 880.97 is: 1,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.47 : 4,784.48 = 880.97 : x
  2. Step 2: Convert to fraction form
    3,189.47/4,784.48 = 880.97/x
  3. Step 3: Cross multiply
    3,189.47x = 4,784.48 × 880.97
  4. Step 4: Simplify right side
    3,189.47x = 4,214,983.35
  5. Step 5: Solve for x
    x = 4,214,983.35/3,189.47
  6. Step 6: Final answer
    x = 1,321.53

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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.