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Finding the Fourth Proportional to 13,987.75, 20,978.40 and 3,992.31

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Solution

The fourth proportional to 13,987.75, 20,978.40 and 3,992.31 is: 5,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.75 : 20,978.40 = 3,992.31 : x
  2. Step 2: Convert to fraction form
    13,987.75/20,978.40 = 3,992.31/x
  3. Step 3: Cross multiply
    13,987.75x = 20,978.40 × 3,992.31
  4. Step 4: Simplify right side
    13,987.75x = 83,752,171.21
  5. Step 5: Solve for x
    x = 83,752,171.21/13,987.75
  6. Step 6: Final answer
    x = 5,987.54

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1.5x scale

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.