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Finding the Fourth Proportional to 20,494.58, 30,702.45 and 12,573.98

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Solution

The fourth proportional to 20,494.58, 30,702.45 and 12,573.98 is: 18,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.58 : 30,702.45 = 12,573.98 : x
  2. Step 2: Convert to fraction form
    20,494.58/30,702.45 = 12,573.98/x
  3. Step 3: Cross multiply
    20,494.58x = 30,702.45 × 12,573.98
  4. Step 4: Simplify right side
    20,494.58x = 386,051,992.25
  5. Step 5: Solve for x
    x = 386,051,992.25/20,494.58
  6. Step 6: Final answer
    x = 18,836.78

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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.