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Finding the Fourth Proportional to 21,955, 30,297.90 and 12,019

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Solution

The fourth proportional to 21,955, 30,297.90 and 12,019 is: 16,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955 : 30,297.90 = 12,019 : x
  2. Step 2: Convert to fraction form
    21,955/30,297.90 = 12,019/x
  3. Step 3: Cross multiply
    21,955x = 30,297.90 × 12,019
  4. Step 4: Simplify right side
    21,955x = 364,150,460.10
  5. Step 5: Solve for x
    x = 364,150,460.10/21,955
  6. Step 6: Final answer
    x = 16,586.22

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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.