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Finding the Fourth Proportional to 27,706, 38,235.92 and 15,769.84

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Solution

The fourth proportional to 27,706, 38,235.92 and 15,769.84 is: 21,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 38,235.92 = 15,769.84 : x
  2. Step 2: Convert to fraction form
    27,706/38,235.92 = 15,769.84/x
  3. Step 3: Cross multiply
    27,706x = 38,235.92 × 15,769.84
  4. Step 4: Simplify right side
    27,706x = 602,974,340.65
  5. Step 5: Solve for x
    x = 602,974,340.65/27,706
  6. Step 6: Final answer
    x = 21,763.31

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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.