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Finding the Fourth Proportional to 6,800.88, 10,200 and 2,418.40

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Solution

The fourth proportional to 6,800.88, 10,200 and 2,418.40 is: 3,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.88 : 10,200 = 2,418.40 : x
  2. Step 2: Convert to fraction form
    6,800.88/10,200 = 2,418.40/x
  3. Step 3: Cross multiply
    6,800.88x = 10,200 × 2,418.40
  4. Step 4: Simplify right side
    6,800.88x = 24,667,680
  5. Step 5: Solve for x
    x = 24,667,680/6,800.88
  6. Step 6: Final answer
    x = 3,627.13

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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.