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Finding the Fourth Proportional to 2,768.85, 4,152.96 and 989.73

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Solution

The fourth proportional to 2,768.85, 4,152.96 and 989.73 is: 1,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.85 : 4,152.96 = 989.73 : x
  2. Step 2: Convert to fraction form
    2,768.85/4,152.96 = 989.73/x
  3. Step 3: Cross multiply
    2,768.85x = 4,152.96 × 989.73
  4. Step 4: Simplify right side
    2,768.85x = 4,110,309.10
  5. Step 5: Solve for x
    x = 4,110,309.10/2,768.85
  6. Step 6: Final answer
    x = 1,484.48

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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.