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Finding the Fourth Proportional to 16,822.40, 25,188.44 and 9,405.72

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Solution

The fourth proportional to 16,822.40, 25,188.44 and 9,405.72 is: 14,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.40 : 25,188.44 = 9,405.72 : x
  2. Step 2: Convert to fraction form
    16,822.40/25,188.44 = 9,405.72/x
  3. Step 3: Cross multiply
    16,822.40x = 25,188.44 × 9,405.72
  4. Step 4: Simplify right side
    16,822.40x = 236,915,366.85
  5. Step 5: Solve for x
    x = 236,915,366.85/16,822.40
  6. Step 6: Final answer
    x = 14,083.33

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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.