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Finding the Fourth Proportional to 16,905.92, 23,328.14 and 9,351.32

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Solution

The fourth proportional to 16,905.92, 23,328.14 and 9,351.32 is: 12,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905.92 : 23,328.14 = 9,351.32 : x
  2. Step 2: Convert to fraction form
    16,905.92/23,328.14 = 9,351.32/x
  3. Step 3: Cross multiply
    16,905.92x = 23,328.14 × 9,351.32
  4. Step 4: Simplify right side
    16,905.92x = 218,148,738.75
  5. Step 5: Solve for x
    x = 218,148,738.75/16,905.92
  6. Step 6: Final answer
    x = 12,903.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.