Home / 13,828-20,735.50-5,056.78

Finding the Fourth Proportional to 13,828, 20,735.50 and 5,056.78

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Solution

The fourth proportional to 13,828, 20,735.50 and 5,056.78 is: 7,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 20,735.50 = 5,056.78 : x
  2. Step 2: Convert to fraction form
    13,828/20,735.50 = 5,056.78/x
  3. Step 3: Cross multiply
    13,828x = 20,735.50 × 5,056.78
  4. Step 4: Simplify right side
    13,828x = 104,854,861.69
  5. Step 5: Solve for x
    x = 104,854,861.69/13,828
  6. Step 6: Final answer
    x = 7,582.79

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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.