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Finding the Fourth Proportional to 30,391, 45,608.10 and 11,923

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Solution

The fourth proportional to 30,391, 45,608.10 and 11,923 is: 17,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391 : 45,608.10 = 11,923 : x
  2. Step 2: Convert to fraction form
    30,391/45,608.10 = 11,923/x
  3. Step 3: Cross multiply
    30,391x = 45,608.10 × 11,923
  4. Step 4: Simplify right side
    30,391x = 543,785,376.30
  5. Step 5: Solve for x
    x = 543,785,376.30/30,391
  6. Step 6: Final answer
    x = 17,892.97

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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.