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Finding the Fourth Proportional to 20,671.98, 31,007.98 and 8,978.82

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Solution

The fourth proportional to 20,671.98, 31,007.98 and 8,978.82 is: 13,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.98 : 31,007.98 = 8,978.82 : x
  2. Step 2: Convert to fraction form
    20,671.98/31,007.98 = 8,978.82/x
  3. Step 3: Cross multiply
    20,671.98x = 31,007.98 × 8,978.82
  4. Step 4: Simplify right side
    20,671.98x = 278,415,070.98
  5. Step 5: Solve for x
    x = 278,415,070.98/20,671.98
  6. Step 6: Final answer
    x = 13,468.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.