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Finding the Fourth Proportional to 19,783, 27,300.54 and 10,951

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Solution

The fourth proportional to 19,783, 27,300.54 and 10,951 is: 15,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783 : 27,300.54 = 10,951 : x
  2. Step 2: Convert to fraction form
    19,783/27,300.54 = 10,951/x
  3. Step 3: Cross multiply
    19,783x = 27,300.54 × 10,951
  4. Step 4: Simplify right side
    19,783x = 298,968,213.54
  5. Step 5: Solve for x
    x = 298,968,213.54/19,783
  6. Step 6: Final answer
    x = 15,112.38

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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.