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Finding the Fourth Proportional to 21,173.68, 31,768.89 and 8,029.54

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Solution

The fourth proportional to 21,173.68, 31,768.89 and 8,029.54 is: 12,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.68 : 31,768.89 = 8,029.54 : x
  2. Step 2: Convert to fraction form
    21,173.68/31,768.89 = 8,029.54/x
  3. Step 3: Cross multiply
    21,173.68x = 31,768.89 × 8,029.54
  4. Step 4: Simplify right side
    21,173.68x = 255,089,573.01
  5. Step 5: Solve for x
    x = 255,089,573.01/21,173.68
  6. Step 6: Final answer
    x = 12,047.48

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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.