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Finding the Fourth Proportional to 26,548, 39,822 and 8,080

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Solution

The fourth proportional to 26,548, 39,822 and 8,080 is: 12,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548 : 39,822 = 8,080 : x
  2. Step 2: Convert to fraction form
    26,548/39,822 = 8,080/x
  3. Step 3: Cross multiply
    26,548x = 39,822 × 8,080
  4. Step 4: Simplify right side
    26,548x = 321,761,760
  5. Step 5: Solve for x
    x = 321,761,760/26,548
  6. Step 6: Final answer
    x = 12,120

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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.