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Finding the Fourth Proportional to 19,146, 28,719 and 5,295

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Solution

The fourth proportional to 19,146, 28,719 and 5,295 is: 7,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,146 : 28,719 = 5,295 : x
  2. Step 2: Convert to fraction form
    19,146/28,719 = 5,295/x
  3. Step 3: Cross multiply
    19,146x = 28,719 × 5,295
  4. Step 4: Simplify right side
    19,146x = 152,067,105
  5. Step 5: Solve for x
    x = 152,067,105/19,146
  6. Step 6: Final answer
    x = 7,942.50

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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.