Home / 7,828.74-11,738.79-3,214.98

Finding the Fourth Proportional to 7,828.74, 11,738.79 and 3,214.98

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Solution

The fourth proportional to 7,828.74, 11,738.79 and 3,214.98 is: 4,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.74 : 11,738.79 = 3,214.98 : x
  2. Step 2: Convert to fraction form
    7,828.74/11,738.79 = 3,214.98/x
  3. Step 3: Cross multiply
    7,828.74x = 11,738.79 × 3,214.98
  4. Step 4: Simplify right side
    7,828.74x = 37,739,975.07
  5. Step 5: Solve for x
    x = 37,739,975.07/7,828.74
  6. Step 6: Final answer
    x = 4,820.70

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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.