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Finding the Fourth Proportional to 9,181.72, 12,671.22 and 5,203

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Solution

The fourth proportional to 9,181.72, 12,671.22 and 5,203 is: 7,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.72 : 12,671.22 = 5,203 : x
  2. Step 2: Convert to fraction form
    9,181.72/12,671.22 = 5,203/x
  3. Step 3: Cross multiply
    9,181.72x = 12,671.22 × 5,203
  4. Step 4: Simplify right side
    9,181.72x = 65,928,357.66
  5. Step 5: Solve for x
    x = 65,928,357.66/9,181.72
  6. Step 6: Final answer
    x = 7,180.39

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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.