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Finding the Fourth Proportional to 19,779, 27,295.02 and 10,947

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Solution

The fourth proportional to 19,779, 27,295.02 and 10,947 is: 15,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779 : 27,295.02 = 10,947 : x
  2. Step 2: Convert to fraction form
    19,779/27,295.02 = 10,947/x
  3. Step 3: Cross multiply
    19,779x = 27,295.02 × 10,947
  4. Step 4: Simplify right side
    19,779x = 298,798,583.94
  5. Step 5: Solve for x
    x = 298,798,583.94/19,779
  6. Step 6: Final answer
    x = 15,106.86

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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.