Home / 7,027-9,698.24-4,042.78

Finding the Fourth Proportional to 7,027, 9,698.24 and 4,042.78

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Solution

The fourth proportional to 7,027, 9,698.24 and 4,042.78 is: 5,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027 : 9,698.24 = 4,042.78 : x
  2. Step 2: Convert to fraction form
    7,027/9,698.24 = 4,042.78/x
  3. Step 3: Cross multiply
    7,027x = 9,698.24 × 4,042.78
  4. Step 4: Simplify right side
    7,027x = 39,207,850.71
  5. Step 5: Solve for x
    x = 39,207,850.71/7,027
  6. Step 6: Final answer
    x = 5,579.60

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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.