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Finding the Fourth Proportional to 17,762, 26,643.48 and 5,450

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Solution

The fourth proportional to 17,762, 26,643.48 and 5,450 is: 8,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762 : 26,643.48 = 5,450 : x
  2. Step 2: Convert to fraction form
    17,762/26,643.48 = 5,450/x
  3. Step 3: Cross multiply
    17,762x = 26,643.48 × 5,450
  4. Step 4: Simplify right side
    17,762x = 145,206,966
  5. Step 5: Solve for x
    x = 145,206,966/17,762
  6. Step 6: Final answer
    x = 8,175.15

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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.