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Finding the Fourth Proportional to 34,223, 47,227.74 and 19,319

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Solution

The fourth proportional to 34,223, 47,227.74 and 19,319 is: 26,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,223 : 47,227.74 = 19,319 : x
  2. Step 2: Convert to fraction form
    34,223/47,227.74 = 19,319/x
  3. Step 3: Cross multiply
    34,223x = 47,227.74 × 19,319
  4. Step 4: Simplify right side
    34,223x = 912,392,709.06
  5. Step 5: Solve for x
    x = 912,392,709.06/34,223
  6. Step 6: Final answer
    x = 26,660.22

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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.