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Finding the Fourth Proportional to 20,978.76, 28,950.80 and 12,026.80

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Solution

The fourth proportional to 20,978.76, 28,950.80 and 12,026.80 is: 16,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.76 : 28,950.80 = 12,026.80 : x
  2. Step 2: Convert to fraction form
    20,978.76/28,950.80 = 12,026.80/x
  3. Step 3: Cross multiply
    20,978.76x = 28,950.80 × 12,026.80
  4. Step 4: Simplify right side
    20,978.76x = 348,185,481.44
  5. Step 5: Solve for x
    x = 348,185,481.44/20,978.76
  6. Step 6: Final answer
    x = 16,597.05

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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.