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Finding the Fourth Proportional to 14,571.72, 20,110.74 and 8,285.64

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Solution

The fourth proportional to 14,571.72, 20,110.74 and 8,285.64 is: 11,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.72 : 20,110.74 = 8,285.64 : x
  2. Step 2: Convert to fraction form
    14,571.72/20,110.74 = 8,285.64/x
  3. Step 3: Cross multiply
    14,571.72x = 20,110.74 × 8,285.64
  4. Step 4: Simplify right side
    14,571.72x = 166,630,351.77
  5. Step 5: Solve for x
    x = 166,630,351.77/14,571.72
  6. Step 6: Final answer
    x = 11,435.19

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1.5x scale

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.