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Finding the Fourth Proportional to 8,584.96, 11,818.42 and 7,639.28

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Solution

The fourth proportional to 8,584.96, 11,818.42 and 7,639.28 is: 10,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.96 : 11,818.42 = 7,639.28 : x
  2. Step 2: Convert to fraction form
    8,584.96/11,818.42 = 7,639.28/x
  3. Step 3: Cross multiply
    8,584.96x = 11,818.42 × 7,639.28
  4. Step 4: Simplify right side
    8,584.96x = 90,284,219.54
  5. Step 5: Solve for x
    x = 90,284,219.54/8,584.96
  6. Step 6: Final answer
    x = 10,516.56

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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.