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Finding the Fourth Proportional to 19,206, 28,813.86 and 5,355

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Solution

The fourth proportional to 19,206, 28,813.86 and 5,355 is: 8,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 28,813.86 = 5,355 : x
  2. Step 2: Convert to fraction form
    19,206/28,813.86 = 5,355/x
  3. Step 3: Cross multiply
    19,206x = 28,813.86 × 5,355
  4. Step 4: Simplify right side
    19,206x = 154,298,220.30
  5. Step 5: Solve for x
    x = 154,298,220.30/19,206
  6. Step 6: Final answer
    x = 8,033.86

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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.