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Finding the Fourth Proportional to 8,180, 11,288.40 and 4,454

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Solution

The fourth proportional to 8,180, 11,288.40 and 4,454 is: 6,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 11,288.40 = 4,454 : x
  2. Step 2: Convert to fraction form
    8,180/11,288.40 = 4,454/x
  3. Step 3: Cross multiply
    8,180x = 11,288.40 × 4,454
  4. Step 4: Simplify right side
    8,180x = 50,278,533.60
  5. Step 5: Solve for x
    x = 50,278,533.60/8,180
  6. Step 6: Final answer
    x = 6,146.52

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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.