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Finding the Fourth Proportional to 13,765.86, 18,995.04 and 8,100

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Solution

The fourth proportional to 13,765.86, 18,995.04 and 8,100 is: 11,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.86 : 18,995.04 = 8,100 : x
  2. Step 2: Convert to fraction form
    13,765.86/18,995.04 = 8,100/x
  3. Step 3: Cross multiply
    13,765.86x = 18,995.04 × 8,100
  4. Step 4: Simplify right side
    13,765.86x = 153,859,824
  5. Step 5: Solve for x
    x = 153,859,824/13,765.86
  6. Step 6: Final answer
    x = 11,176.91

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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.