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Finding the Fourth Proportional to 8,200.80, 12,313.58 and 6,552.45

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Solution

The fourth proportional to 8,200.80, 12,313.58 and 6,552.45 is: 9,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 12,313.58 = 6,552.45 : x
  2. Step 2: Convert to fraction form
    8,200.80/12,313.58 = 6,552.45/x
  3. Step 3: Cross multiply
    8,200.80x = 12,313.58 × 6,552.45
  4. Step 4: Simplify right side
    8,200.80x = 80,684,084.51
  5. Step 5: Solve for x
    x = 80,684,084.51/8,200.80
  6. Step 6: Final answer
    x = 9,838.56

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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.