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Finding the Fourth Proportional to 7,820.82, 11,732.88 and 2,890.50

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Solution

The fourth proportional to 7,820.82, 11,732.88 and 2,890.50 is: 4,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.82 : 11,732.88 = 2,890.50 : x
  2. Step 2: Convert to fraction form
    7,820.82/11,732.88 = 2,890.50/x
  3. Step 3: Cross multiply
    7,820.82x = 11,732.88 × 2,890.50
  4. Step 4: Simplify right side
    7,820.82x = 33,913,889.64
  5. Step 5: Solve for x
    x = 33,913,889.64/7,820.82
  6. Step 6: Final answer
    x = 4,336.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.