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Finding the Fourth Proportional to 19,688, 27,169.44 and 10,856

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Solution

The fourth proportional to 19,688, 27,169.44 and 10,856 is: 14,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 27,169.44 = 10,856 : x
  2. Step 2: Convert to fraction form
    19,688/27,169.44 = 10,856/x
  3. Step 3: Cross multiply
    19,688x = 27,169.44 × 10,856
  4. Step 4: Simplify right side
    19,688x = 294,951,440.64
  5. Step 5: Solve for x
    x = 294,951,440.64/19,688
  6. Step 6: Final answer
    x = 14,981.28

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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.