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Finding the Fourth Proportional to 20,999, 28,978.71 and 11,567.36

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Solution

The fourth proportional to 20,999, 28,978.71 and 11,567.36 is: 15,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999 : 28,978.71 = 11,567.36 : x
  2. Step 2: Convert to fraction form
    20,999/28,978.71 = 11,567.36/x
  3. Step 3: Cross multiply
    20,999x = 28,978.71 × 11,567.36
  4. Step 4: Simplify right side
    20,999x = 335,207,170.91
  5. Step 5: Solve for x
    x = 335,207,170.91/20,999
  6. Step 6: Final answer
    x = 15,963.01

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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.