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Finding the Fourth Proportional to 16,802.56, 23,190.60 and 9,729.64

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Solution

The fourth proportional to 16,802.56, 23,190.60 and 9,729.64 is: 13,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.56 : 23,190.60 = 9,729.64 : x
  2. Step 2: Convert to fraction form
    16,802.56/23,190.60 = 9,729.64/x
  3. Step 3: Cross multiply
    16,802.56x = 23,190.60 × 9,729.64
  4. Step 4: Simplify right side
    16,802.56x = 225,636,189.38
  5. Step 5: Solve for x
    x = 225,636,189.38/16,802.56
  6. Step 6: Final answer
    x = 13,428.68

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Why These Related Problems?

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