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Finding the Fourth Proportional to 6,532.62, 9,780.66 and 3,405.78

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Solution

The fourth proportional to 6,532.62, 9,780.66 and 3,405.78 is: 5,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.62 : 9,780.66 = 3,405.78 : x
  2. Step 2: Convert to fraction form
    6,532.62/9,780.66 = 3,405.78/x
  3. Step 3: Cross multiply
    6,532.62x = 9,780.66 × 3,405.78
  4. Step 4: Simplify right side
    6,532.62x = 33,310,776.21
  5. Step 5: Solve for x
    x = 33,310,776.21/6,532.62
  6. Step 6: Final answer
    x = 5,099.14

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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.