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Finding the Fourth Proportional to 19,215, 28,833.84 and 8,121

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Solution

The fourth proportional to 19,215, 28,833.84 and 8,121 is: 12,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 28,833.84 = 8,121 : x
  2. Step 2: Convert to fraction form
    19,215/28,833.84 = 8,121/x
  3. Step 3: Cross multiply
    19,215x = 28,833.84 × 8,121
  4. Step 4: Simplify right side
    19,215x = 234,159,614.64
  5. Step 5: Solve for x
    x = 234,159,614.64/19,215
  6. Step 6: Final answer
    x = 12,186.29

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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.