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Finding the Fourth Proportional to 20,978.94, 28,951.02 and 12,026.64

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Solution

The fourth proportional to 20,978.94, 28,951.02 and 12,026.64 is: 16,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.94 : 28,951.02 = 12,026.64 : x
  2. Step 2: Convert to fraction form
    20,978.94/28,951.02 = 12,026.64/x
  3. Step 3: Cross multiply
    20,978.94x = 28,951.02 × 12,026.64
  4. Step 4: Simplify right side
    20,978.94x = 348,183,495.17
  5. Step 5: Solve for x
    x = 348,183,495.17/20,978.94
  6. Step 6: Final answer
    x = 16,596.81

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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.