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Finding the Fourth Proportional to 27,946.31, 41,947.01 and 20,529.95

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Solution

The fourth proportional to 27,946.31, 41,947.01 and 20,529.95 is: 30,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.31 : 41,947.01 = 20,529.95 : x
  2. Step 2: Convert to fraction form
    27,946.31/41,947.01 = 20,529.95/x
  3. Step 3: Cross multiply
    27,946.31x = 41,947.01 × 20,529.95
  4. Step 4: Simplify right side
    27,946.31x = 861,170,017.95
  5. Step 5: Solve for x
    x = 861,170,017.95/27,946.31
  6. Step 6: Final answer
    x = 30,815.16

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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.