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Finding the Fourth Proportional to 8,193.65, 12,290.47 and 3,510.63

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Solution

The fourth proportional to 8,193.65, 12,290.47 and 3,510.63 is: 5,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.65 : 12,290.47 = 3,510.63 : x
  2. Step 2: Convert to fraction form
    8,193.65/12,290.47 = 3,510.63/x
  3. Step 3: Cross multiply
    8,193.65x = 12,290.47 × 3,510.63
  4. Step 4: Simplify right side
    8,193.65x = 43,147,283.92
  5. Step 5: Solve for x
    x = 43,147,283.92/8,193.65
  6. Step 6: Final answer
    x = 5,265.95

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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.