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Finding the Fourth Proportional to 19,130, 28,696.08 and 6,818

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Solution

The fourth proportional to 19,130, 28,696.08 and 6,818 is: 10,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130 : 28,696.08 = 6,818 : x
  2. Step 2: Convert to fraction form
    19,130/28,696.08 = 6,818/x
  3. Step 3: Cross multiply
    19,130x = 28,696.08 × 6,818
  4. Step 4: Simplify right side
    19,130x = 195,649,873.44
  5. Step 5: Solve for x
    x = 195,649,873.44/19,130
  6. Step 6: Final answer
    x = 10,227.38

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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.