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Finding the Fourth Proportional to 6,419.24, 9,629.10 and 3,969.80

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Solution

The fourth proportional to 6,419.24, 9,629.10 and 3,969.80 is: 5,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.24 : 9,629.10 = 3,969.80 : x
  2. Step 2: Convert to fraction form
    6,419.24/9,629.10 = 3,969.80/x
  3. Step 3: Cross multiply
    6,419.24x = 9,629.10 × 3,969.80
  4. Step 4: Simplify right side
    6,419.24x = 38,225,601.18
  5. Step 5: Solve for x
    x = 38,225,601.18/6,419.24
  6. Step 6: Final answer
    x = 5,954.85

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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.