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Finding the Fourth Proportional to 11,538.03, 15,913.42 and 8,351.80

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Solution

The fourth proportional to 11,538.03, 15,913.42 and 8,351.80 is: 11,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.03 : 15,913.42 = 8,351.80 : x
  2. Step 2: Convert to fraction form
    11,538.03/15,913.42 = 8,351.80/x
  3. Step 3: Cross multiply
    11,538.03x = 15,913.42 × 8,351.80
  4. Step 4: Simplify right side
    11,538.03x = 132,905,701.16
  5. Step 5: Solve for x
    x = 132,905,701.16/11,538.03
  6. Step 6: Final answer
    x = 11,518.92

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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.