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Finding the Fourth Proportional to 21,978.20, 30,329.18 and 12,418.44

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Solution

The fourth proportional to 21,978.20, 30,329.18 and 12,418.44 is: 17,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.20 : 30,329.18 = 12,418.44 : x
  2. Step 2: Convert to fraction form
    21,978.20/30,329.18 = 12,418.44/x
  3. Step 3: Cross multiply
    21,978.20x = 30,329.18 × 12,418.44
  4. Step 4: Simplify right side
    21,978.20x = 376,641,102.08
  5. Step 5: Solve for x
    x = 376,641,102.08/21,978.20
  6. Step 6: Final answer
    x = 17,137.03

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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.