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Finding the Fourth Proportional to 21,907.21, 30,231.93 and 11,971.21

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Solution

The fourth proportional to 21,907.21, 30,231.93 and 11,971.21 is: 16,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.21 : 30,231.93 = 11,971.21 : x
  2. Step 2: Convert to fraction form
    21,907.21/30,231.93 = 11,971.21/x
  3. Step 3: Cross multiply
    21,907.21x = 30,231.93 × 11,971.21
  4. Step 4: Simplify right side
    21,907.21x = 361,912,782.74
  5. Step 5: Solve for x
    x = 361,912,782.74/21,907.21
  6. Step 6: Final answer
    x = 16,520.26

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1.5x scale

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.