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Finding the Fourth Proportional to 2,982.74, 4,474.77 and 902.78

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Solution

The fourth proportional to 2,982.74, 4,474.77 and 902.78 is: 1,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.74 : 4,474.77 = 902.78 : x
  2. Step 2: Convert to fraction form
    2,982.74/4,474.77 = 902.78/x
  3. Step 3: Cross multiply
    2,982.74x = 4,474.77 × 902.78
  4. Step 4: Simplify right side
    2,982.74x = 4,039,732.86
  5. Step 5: Solve for x
    x = 4,039,732.86/2,982.74
  6. Step 6: Final answer
    x = 1,354.37

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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.