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Finding the Fourth Proportional to 30,450.76, 42,021.91 and 17,022

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Solution

The fourth proportional to 30,450.76, 42,021.91 and 17,022 is: 23,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450.76 : 42,021.91 = 17,022 : x
  2. Step 2: Convert to fraction form
    30,450.76/42,021.91 = 17,022/x
  3. Step 3: Cross multiply
    30,450.76x = 42,021.91 × 17,022
  4. Step 4: Simplify right side
    30,450.76x = 715,296,952.02
  5. Step 5: Solve for x
    x = 715,296,952.02/30,450.76
  6. Step 6: Final answer
    x = 23,490.28

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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.