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Finding the Fourth Proportional to 19,212, 28,822.86 and 5,361

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Solution

The fourth proportional to 19,212, 28,822.86 and 5,361 is: 8,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212 : 28,822.86 = 5,361 : x
  2. Step 2: Convert to fraction form
    19,212/28,822.86 = 5,361/x
  3. Step 3: Cross multiply
    19,212x = 28,822.86 × 5,361
  4. Step 4: Simplify right side
    19,212x = 154,519,352.46
  5. Step 5: Solve for x
    x = 154,519,352.46/19,212
  6. Step 6: Final answer
    x = 8,042.86

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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.