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Finding the Fourth Proportional to 12,192, 16,829.28 and 7,224

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Solution

The fourth proportional to 12,192, 16,829.28 and 7,224 is: 9,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 16,829.28 = 7,224 : x
  2. Step 2: Convert to fraction form
    12,192/16,829.28 = 7,224/x
  3. Step 3: Cross multiply
    12,192x = 16,829.28 × 7,224
  4. Step 4: Simplify right side
    12,192x = 121,574,718.72
  5. Step 5: Solve for x
    x = 121,574,718.72/12,192
  6. Step 6: Final answer
    x = 9,971.68

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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.