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Finding the Fourth Proportional to 9,863.46, 13,602.09 and 6,640.54

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Solution

The fourth proportional to 9,863.46, 13,602.09 and 6,640.54 is: 9,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.46 : 13,602.09 = 6,640.54 : x
  2. Step 2: Convert to fraction form
    9,863.46/13,602.09 = 6,640.54/x
  3. Step 3: Cross multiply
    9,863.46x = 13,602.09 × 6,640.54
  4. Step 4: Simplify right side
    9,863.46x = 90,325,222.73
  5. Step 5: Solve for x
    x = 90,325,222.73/9,863.46
  6. Step 6: Final answer
    x = 9,157.56

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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.