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Finding the Fourth Proportional to 34,119, 47,084.22 and 19,215

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Solution

The fourth proportional to 34,119, 47,084.22 and 19,215 is: 26,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,119 : 47,084.22 = 19,215 : x
  2. Step 2: Convert to fraction form
    34,119/47,084.22 = 19,215/x
  3. Step 3: Cross multiply
    34,119x = 47,084.22 × 19,215
  4. Step 4: Simplify right side
    34,119x = 904,723,287.30
  5. Step 5: Solve for x
    x = 904,723,287.30/34,119
  6. Step 6: Final answer
    x = 26,516.70

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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.