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Finding the Fourth Proportional to 13,987.92, 19,297.54 and 8,321.54

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Solution

The fourth proportional to 13,987.92, 19,297.54 and 8,321.54 is: 11,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.92 : 19,297.54 = 8,321.54 : x
  2. Step 2: Convert to fraction form
    13,987.92/19,297.54 = 8,321.54/x
  3. Step 3: Cross multiply
    13,987.92x = 19,297.54 × 8,321.54
  4. Step 4: Simplify right side
    13,987.92x = 160,585,164.93
  5. Step 5: Solve for x
    x = 160,585,164.93/13,987.92
  6. Step 6: Final answer
    x = 11,480.28

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1.5x scale

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.