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Finding the Fourth Proportional to 13,877.74, 20,814.87 and 8,181.97

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Solution

The fourth proportional to 13,877.74, 20,814.87 and 8,181.97 is: 12,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.74 : 20,814.87 = 8,181.97 : x
  2. Step 2: Convert to fraction form
    13,877.74/20,814.87 = 8,181.97/x
  3. Step 3: Cross multiply
    13,877.74x = 20,814.87 × 8,181.97
  4. Step 4: Simplify right side
    13,877.74x = 170,306,641.89
  5. Step 5: Solve for x
    x = 170,306,641.89/13,877.74
  6. Step 6: Final answer
    x = 12,271.93

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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.