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Finding the Fourth Proportional to 12,192, 18,284.29 and 6,345.42

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Solution

The fourth proportional to 12,192, 18,284.29 and 6,345.42 is: 9,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 18,284.29 = 6,345.42 : x
  2. Step 2: Convert to fraction form
    12,192/18,284.29 = 6,345.42/x
  3. Step 3: Cross multiply
    12,192x = 18,284.29 × 6,345.42
  4. Step 4: Simplify right side
    12,192x = 116,021,483.59
  5. Step 5: Solve for x
    x = 116,021,483.59/12,192
  6. Step 6: Final answer
    x = 9,516.20

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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.