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Finding the Fourth Proportional to 6,503.99, 9,751.94 and 2,120.81

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Solution

The fourth proportional to 6,503.99, 9,751.94 and 2,120.81 is: 3,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.99 : 9,751.94 = 2,120.81 : x
  2. Step 2: Convert to fraction form
    6,503.99/9,751.94 = 2,120.81/x
  3. Step 3: Cross multiply
    6,503.99x = 9,751.94 × 2,120.81
  4. Step 4: Simplify right side
    6,503.99x = 20,682,001.27
  5. Step 5: Solve for x
    x = 20,682,001.27/6,503.99
  6. Step 6: Final answer
    x = 3,179.89

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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.