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Finding the Fourth Proportional to 19,656, 27,125.28 and 12,216.96

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Solution

The fourth proportional to 19,656, 27,125.28 and 12,216.96 is: 16,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 27,125.28 = 12,216.96 : x
  2. Step 2: Convert to fraction form
    19,656/27,125.28 = 12,216.96/x
  3. Step 3: Cross multiply
    19,656x = 27,125.28 × 12,216.96
  4. Step 4: Simplify right side
    19,656x = 331,388,460.75
  5. Step 5: Solve for x
    x = 331,388,460.75/19,656
  6. Step 6: Final answer
    x = 16,859.40

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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.