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Finding the Fourth Proportional to 13,240, 18,273.74 and 7,863.64

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Solution

The fourth proportional to 13,240, 18,273.74 and 7,863.64 is: 10,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240 : 18,273.74 = 7,863.64 : x
  2. Step 2: Convert to fraction form
    13,240/18,273.74 = 7,863.64/x
  3. Step 3: Cross multiply
    13,240x = 18,273.74 × 7,863.64
  4. Step 4: Simplify right side
    13,240x = 143,698,112.81
  5. Step 5: Solve for x
    x = 143,698,112.81/13,240
  6. Step 6: Final answer
    x = 10,853.33

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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.