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Finding the Fourth Proportional to 16,419.92, 22,657.74 and 9,705.84

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Solution

The fourth proportional to 16,419.92, 22,657.74 and 9,705.84 is: 13,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.92 : 22,657.74 = 9,705.84 : x
  2. Step 2: Convert to fraction form
    16,419.92/22,657.74 = 9,705.84/x
  3. Step 3: Cross multiply
    16,419.92x = 22,657.74 × 9,705.84
  4. Step 4: Simplify right side
    16,419.92x = 219,912,399.20
  5. Step 5: Solve for x
    x = 219,912,399.20/16,419.92
  6. Step 6: Final answer
    x = 13,393.03

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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.