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Finding the Fourth Proportional to 19,209.32, 28,827 and 6,729.44

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Solution

The fourth proportional to 19,209.32, 28,827 and 6,729.44 is: 10,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209.32 : 28,827 = 6,729.44 : x
  2. Step 2: Convert to fraction form
    19,209.32/28,827 = 6,729.44/x
  3. Step 3: Cross multiply
    19,209.32x = 28,827 × 6,729.44
  4. Step 4: Simplify right side
    19,209.32x = 193,989,638.95
  5. Step 5: Solve for x
    x = 193,989,638.95/19,209.32
  6. Step 6: Final answer
    x = 10,098.73

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