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Finding the Fourth Proportional to 6,399.92, 9,619.40 and 4,676.24

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Solution

The fourth proportional to 6,399.92, 9,619.40 and 4,676.24 is: 7,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.92 : 9,619.40 = 4,676.24 : x
  2. Step 2: Convert to fraction form
    6,399.92/9,619.40 = 4,676.24/x
  3. Step 3: Cross multiply
    6,399.92x = 9,619.40 × 4,676.24
  4. Step 4: Simplify right side
    6,399.92x = 44,982,623.06
  5. Step 5: Solve for x
    x = 44,982,623.06/6,399.92
  6. Step 6: Final answer
    x = 7,028.62

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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.