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Finding the Fourth Proportional to 20,622, 30,907.64 and 9,513.26

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Solution

The fourth proportional to 20,622, 30,907.64 and 9,513.26 is: 14,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 30,907.64 = 9,513.26 : x
  2. Step 2: Convert to fraction form
    20,622/30,907.64 = 9,513.26/x
  3. Step 3: Cross multiply
    20,622x = 30,907.64 × 9,513.26
  4. Step 4: Simplify right side
    20,622x = 294,032,415.31
  5. Step 5: Solve for x
    x = 294,032,415.31/20,622
  6. Step 6: Final answer
    x = 14,258.19

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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.