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Finding the Fourth Proportional to 13,757.36, 18,985.20 and 7,469.72

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Solution

The fourth proportional to 13,757.36, 18,985.20 and 7,469.72 is: 10,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.36 : 18,985.20 = 7,469.72 : x
  2. Step 2: Convert to fraction form
    13,757.36/18,985.20 = 7,469.72/x
  3. Step 3: Cross multiply
    13,757.36x = 18,985.20 × 7,469.72
  4. Step 4: Simplify right side
    13,757.36x = 141,814,128.14
  5. Step 5: Solve for x
    x = 141,814,128.14/13,757.36
  6. Step 6: Final answer
    x = 10,308.24

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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.