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Finding the Fourth Proportional to 8,200.80, 12,306.06 and 7,681.89

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Solution

The fourth proportional to 8,200.80, 12,306.06 and 7,681.89 is: 11,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 12,306.06 = 7,681.89 : x
  2. Step 2: Convert to fraction form
    8,200.80/12,306.06 = 7,681.89/x
  3. Step 3: Cross multiply
    8,200.80x = 12,306.06 × 7,681.89
  4. Step 4: Simplify right side
    8,200.80x = 94,533,799.25
  5. Step 5: Solve for x
    x = 94,533,799.25/8,200.80
  6. Step 6: Final answer
    x = 11,527.39

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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.