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Finding the Fourth Proportional to 19,242, 28,863 and 6,930

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Solution

The fourth proportional to 19,242, 28,863 and 6,930 is: 10,395

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,242 : 28,863 = 6,930 : x
  2. Step 2: Convert to fraction form
    19,242/28,863 = 6,930/x
  3. Step 3: Cross multiply
    19,242x = 28,863 × 6,930
  4. Step 4: Simplify right side
    19,242x = 200,020,590
  5. Step 5: Solve for x
    x = 200,020,590/19,242
  6. Step 6: Final answer
    x = 10,395

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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.