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Finding the Fourth Proportional to 9,293.40, 12,820.74 and 5,516.73

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Solution

The fourth proportional to 9,293.40, 12,820.74 and 5,516.73 is: 7,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.40 : 12,820.74 = 5,516.73 : x
  2. Step 2: Convert to fraction form
    9,293.40/12,820.74 = 5,516.73/x
  3. Step 3: Cross multiply
    9,293.40x = 12,820.74 × 5,516.73
  4. Step 4: Simplify right side
    9,293.40x = 70,728,560.98
  5. Step 5: Solve for x
    x = 70,728,560.98/9,293.40
  6. Step 6: Final answer
    x = 7,610.62

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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.