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Finding the Fourth Proportional to 19,688, 27,169.44 and 11,305.04

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Solution

The fourth proportional to 19,688, 27,169.44 and 11,305.04 is: 15,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 27,169.44 = 11,305.04 : x
  2. Step 2: Convert to fraction form
    19,688/27,169.44 = 11,305.04/x
  3. Step 3: Cross multiply
    19,688x = 27,169.44 × 11,305.04
  4. Step 4: Simplify right side
    19,688x = 307,151,605.98
  5. Step 5: Solve for x
    x = 307,151,605.98/19,688
  6. Step 6: Final answer
    x = 15,600.96

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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.