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Finding the Fourth Proportional to 19,208, 28,813.08 and 5,358.08

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Solution

The fourth proportional to 19,208, 28,813.08 and 5,358.08 is: 8,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 28,813.08 = 5,358.08 : x
  2. Step 2: Convert to fraction form
    19,208/28,813.08 = 5,358.08/x
  3. Step 3: Cross multiply
    19,208x = 28,813.08 × 5,358.08
  4. Step 4: Simplify right side
    19,208x = 154,382,787.69
  5. Step 5: Solve for x
    x = 154,382,787.69/19,208
  6. Step 6: Final answer
    x = 8,037.42

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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.