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Finding the Fourth Proportional to 20,998.84, 28,978.74 and 11,567.41

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Solution

The fourth proportional to 20,998.84, 28,978.74 and 11,567.41 is: 15,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.84 : 28,978.74 = 11,567.41 : x
  2. Step 2: Convert to fraction form
    20,998.84/28,978.74 = 11,567.41/x
  3. Step 3: Cross multiply
    20,998.84x = 28,978.74 × 11,567.41
  4. Step 4: Simplify right side
    20,998.84x = 335,208,821.97
  5. Step 5: Solve for x
    x = 335,208,821.97/20,998.84
  6. Step 6: Final answer
    x = 15,963.21

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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.