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Finding the Fourth Proportional to 20,998.80, 28,978.02 and 11,567.70

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Solution

The fourth proportional to 20,998.80, 28,978.02 and 11,567.70 is: 15,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.80 : 28,978.02 = 11,567.70 : x
  2. Step 2: Convert to fraction form
    20,998.80/28,978.02 = 11,567.70/x
  3. Step 3: Cross multiply
    20,998.80x = 28,978.02 × 11,567.70
  4. Step 4: Simplify right side
    20,998.80x = 335,209,041.95
  5. Step 5: Solve for x
    x = 335,209,041.95/20,998.80
  6. Step 6: Final answer
    x = 15,963.25

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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.