Home / 13,824.75-19,078.16-7,856.43

Finding the Fourth Proportional to 13,824.75, 19,078.16 and 7,856.43

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Solution

The fourth proportional to 13,824.75, 19,078.16 and 7,856.43 is: 10,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.75 : 19,078.16 = 7,856.43 : x
  2. Step 2: Convert to fraction form
    13,824.75/19,078.16 = 7,856.43/x
  3. Step 3: Cross multiply
    13,824.75x = 19,078.16 × 7,856.43
  4. Step 4: Simplify right side
    13,824.75x = 149,886,228.57
  5. Step 5: Solve for x
    x = 149,886,228.57/13,824.75
  6. Step 6: Final answer
    x = 10,841.88

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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.