Home / 7,782.38-11,669.78-2,586.50

Finding the Fourth Proportional to 7,782.38, 11,669.78 and 2,586.50

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Solution

The fourth proportional to 7,782.38, 11,669.78 and 2,586.50 is: 3,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.38 : 11,669.78 = 2,586.50 : x
  2. Step 2: Convert to fraction form
    7,782.38/11,669.78 = 2,586.50/x
  3. Step 3: Cross multiply
    7,782.38x = 11,669.78 × 2,586.50
  4. Step 4: Simplify right side
    7,782.38x = 30,183,885.97
  5. Step 5: Solve for x
    x = 30,183,885.97/7,782.38
  6. Step 6: Final answer
    x = 3,878.49

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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.