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Finding the Fourth Proportional to 6,828.99, 9,421.97 and 4,173.68

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Solution

The fourth proportional to 6,828.99, 9,421.97 and 4,173.68 is: 5,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.99 : 9,421.97 = 4,173.68 : x
  2. Step 2: Convert to fraction form
    6,828.99/9,421.97 = 4,173.68/x
  3. Step 3: Cross multiply
    6,828.99x = 9,421.97 × 4,173.68
  4. Step 4: Simplify right side
    6,828.99x = 39,324,219.77
  5. Step 5: Solve for x
    x = 39,324,219.77/6,828.99
  6. Step 6: Final answer
    x = 5,758.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.