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Finding the Fourth Proportional to 13,852.86, 20,776.25 and 3,990

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Solution

The fourth proportional to 13,852.86, 20,776.25 and 3,990 is: 5,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.86 : 20,776.25 = 3,990 : x
  2. Step 2: Convert to fraction form
    13,852.86/20,776.25 = 3,990/x
  3. Step 3: Cross multiply
    13,852.86x = 20,776.25 × 3,990
  4. Step 4: Simplify right side
    13,852.86x = 82,897,237.50
  5. Step 5: Solve for x
    x = 82,897,237.50/13,852.86
  6. Step 6: Final answer
    x = 5,984.12

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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.