Home / 6,420-9,629.96-5,129.64

Finding the Fourth Proportional to 6,420, 9,629.96 and 5,129.64

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Solution

The fourth proportional to 6,420, 9,629.96 and 5,129.64 is: 7,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420 : 9,629.96 = 5,129.64 : x
  2. Step 2: Convert to fraction form
    6,420/9,629.96 = 5,129.64/x
  3. Step 3: Cross multiply
    6,420x = 9,629.96 × 5,129.64
  4. Step 4: Simplify right side
    6,420x = 49,398,228.01
  5. Step 5: Solve for x
    x = 49,398,228.01/6,420
  6. Step 6: Final answer
    x = 7,694.43

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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.