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Finding the Fourth Proportional to 6,799.50, 10,200.18 and 2,415.78

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Solution

The fourth proportional to 6,799.50, 10,200.18 and 2,415.78 is: 3,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.50 : 10,200.18 = 2,415.78 : x
  2. Step 2: Convert to fraction form
    6,799.50/10,200.18 = 2,415.78/x
  3. Step 3: Cross multiply
    6,799.50x = 10,200.18 × 2,415.78
  4. Step 4: Simplify right side
    6,799.50x = 24,641,390.84
  5. Step 5: Solve for x
    x = 24,641,390.84/6,799.50
  6. Step 6: Final answer
    x = 3,624.00

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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.