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Finding the Fourth Proportional to 8,173, 11,278.82 and 4,447.08

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Solution

The fourth proportional to 8,173, 11,278.82 and 4,447.08 is: 6,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173 : 11,278.82 = 4,447.08 : x
  2. Step 2: Convert to fraction form
    8,173/11,278.82 = 4,447.08/x
  3. Step 3: Cross multiply
    8,173x = 11,278.82 × 4,447.08
  4. Step 4: Simplify right side
    8,173x = 50,157,814.85
  5. Step 5: Solve for x
    x = 50,157,814.85/8,173
  6. Step 6: Final answer
    x = 6,137.01

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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.