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Finding the Fourth Proportional to 9,511.52, 13,112.72 and 8,199.20

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Solution

The fourth proportional to 9,511.52, 13,112.72 and 8,199.20 is: 11,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.52 : 13,112.72 = 8,199.20 : x
  2. Step 2: Convert to fraction form
    9,511.52/13,112.72 = 8,199.20/x
  3. Step 3: Cross multiply
    9,511.52x = 13,112.72 × 8,199.20
  4. Step 4: Simplify right side
    9,511.52x = 107,513,813.82
  5. Step 5: Solve for x
    x = 107,513,813.82/9,511.52
  6. Step 6: Final answer
    x = 11,303.54

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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.