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Finding the Fourth Proportional to 12,216, 16,851.36 and 8,684.48

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Solution

The fourth proportional to 12,216, 16,851.36 and 8,684.48 is: 11,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216 : 16,851.36 = 8,684.48 : x
  2. Step 2: Convert to fraction form
    12,216/16,851.36 = 8,684.48/x
  3. Step 3: Cross multiply
    12,216x = 16,851.36 × 8,684.48
  4. Step 4: Simplify right side
    12,216x = 146,345,298.89
  5. Step 5: Solve for x
    x = 146,345,298.89/12,216
  6. Step 6: Final answer
    x = 11,979.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.