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Finding the Fourth Proportional to 22,289, 30,741.11 and 18,942.89

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Solution

The fourth proportional to 22,289, 30,741.11 and 18,942.89 is: 26,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 30,741.11 = 18,942.89 : x
  2. Step 2: Convert to fraction form
    22,289/30,741.11 = 18,942.89/x
  3. Step 3: Cross multiply
    22,289x = 30,741.11 × 18,942.89
  4. Step 4: Simplify right side
    22,289x = 582,325,465.21
  5. Step 5: Solve for x
    x = 582,325,465.21/22,289
  6. Step 6: Final answer
    x = 26,126.14

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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.