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Finding the Fourth Proportional to 19,206, 28,810.08 and 5,356.08

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Solution

The fourth proportional to 19,206, 28,810.08 and 5,356.08 is: 8,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 28,810.08 = 5,356.08 : x
  2. Step 2: Convert to fraction form
    19,206/28,810.08 = 5,356.08/x
  3. Step 3: Cross multiply
    19,206x = 28,810.08 × 5,356.08
  4. Step 4: Simplify right side
    19,206x = 154,309,093.29
  5. Step 5: Solve for x
    x = 154,309,093.29/19,206
  6. Step 6: Final answer
    x = 8,034.42

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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.