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Finding the Fourth Proportional to 13,820.48, 19,072.22 and 7,851.86

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Solution

The fourth proportional to 13,820.48, 19,072.22 and 7,851.86 is: 10,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.48 : 19,072.22 = 7,851.86 : x
  2. Step 2: Convert to fraction form
    13,820.48/19,072.22 = 7,851.86/x
  3. Step 3: Cross multiply
    13,820.48x = 19,072.22 × 7,851.86
  4. Step 4: Simplify right side
    13,820.48x = 149,752,401.33
  5. Step 5: Solve for x
    x = 149,752,401.33/13,820.48
  6. Step 6: Final answer
    x = 10,835.54

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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.