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Finding the Fourth Proportional to 7,202.78, 9,936.31 and 4,813.34

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Solution

The fourth proportional to 7,202.78, 9,936.31 and 4,813.34 is: 6,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.78 : 9,936.31 = 4,813.34 : x
  2. Step 2: Convert to fraction form
    7,202.78/9,936.31 = 4,813.34/x
  3. Step 3: Cross multiply
    7,202.78x = 9,936.31 × 4,813.34
  4. Step 4: Simplify right side
    7,202.78x = 47,826,841.58
  5. Step 5: Solve for x
    x = 47,826,841.58/7,202.78
  6. Step 6: Final answer
    x = 6,640.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.