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Finding the Fourth Proportional to 20,998.71, 28,978.17 and 11,567.28

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Solution

The fourth proportional to 20,998.71, 28,978.17 and 11,567.28 is: 15,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.71 : 28,978.17 = 11,567.28 : x
  2. Step 2: Convert to fraction form
    20,998.71/28,978.17 = 11,567.28/x
  3. Step 3: Cross multiply
    20,998.71x = 28,978.17 × 11,567.28
  4. Step 4: Simplify right side
    20,998.71x = 335,198,606.28
  5. Step 5: Solve for x
    x = 335,198,606.28/20,998.71
  6. Step 6: Final answer
    x = 15,962.82

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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.