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Finding the Fourth Proportional to 5,470, 8,205 and 1,366

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Solution

The fourth proportional to 5,470, 8,205 and 1,366 is: 2,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470 : 8,205 = 1,366 : x
  2. Step 2: Convert to fraction form
    5,470/8,205 = 1,366/x
  3. Step 3: Cross multiply
    5,470x = 8,205 × 1,366
  4. Step 4: Simplify right side
    5,470x = 11,208,030
  5. Step 5: Solve for x
    x = 11,208,030/5,470
  6. Step 6: Final answer
    x = 2,049

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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.