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Finding the Fourth Proportional to 18,822.84, 28,238.04 and 6,342.36

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Solution

The fourth proportional to 18,822.84, 28,238.04 and 6,342.36 is: 9,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.84 : 28,238.04 = 6,342.36 : x
  2. Step 2: Convert to fraction form
    18,822.84/28,238.04 = 6,342.36/x
  3. Step 3: Cross multiply
    18,822.84x = 28,238.04 × 6,342.36
  4. Step 4: Simplify right side
    18,822.84x = 179,095,815.37
  5. Step 5: Solve for x
    x = 179,095,815.37/18,822.84
  6. Step 6: Final answer
    x = 9,514.81

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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.