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Finding the Fourth Proportional to 16,202.70, 22,353.15 and 9,918.72

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Solution

The fourth proportional to 16,202.70, 22,353.15 and 9,918.72 is: 13,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.70 : 22,353.15 = 9,918.72 : x
  2. Step 2: Convert to fraction form
    16,202.70/22,353.15 = 9,918.72/x
  3. Step 3: Cross multiply
    16,202.70x = 22,353.15 × 9,918.72
  4. Step 4: Simplify right side
    16,202.70x = 221,714,635.97
  5. Step 5: Solve for x
    x = 221,714,635.97/16,202.70
  6. Step 6: Final answer
    x = 13,683.81

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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.