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Finding the Fourth Proportional to 6,984.31, 9,635.60 and 3,998.54

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Solution

The fourth proportional to 6,984.31, 9,635.60 and 3,998.54 is: 5,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.31 : 9,635.60 = 3,998.54 : x
  2. Step 2: Convert to fraction form
    6,984.31/9,635.60 = 3,998.54/x
  3. Step 3: Cross multiply
    6,984.31x = 9,635.60 × 3,998.54
  4. Step 4: Simplify right side
    6,984.31x = 38,528,283.85
  5. Step 5: Solve for x
    x = 38,528,283.85/6,984.31
  6. Step 6: Final answer
    x = 5,516.41

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Double scale
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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.