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Finding the Fourth Proportional to 13,856, 19,112.28 and 9,326.48

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Solution

The fourth proportional to 13,856, 19,112.28 and 9,326.48 is: 12,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 19,112.28 = 9,326.48 : x
  2. Step 2: Convert to fraction form
    13,856/19,112.28 = 9,326.48/x
  3. Step 3: Cross multiply
    13,856x = 19,112.28 × 9,326.48
  4. Step 4: Simplify right side
    13,856x = 178,250,297.17
  5. Step 5: Solve for x
    x = 178,250,297.17/13,856
  6. Step 6: Final answer
    x = 12,864.48

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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.