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Finding the Fourth Proportional to 8,410.68, 11,584.86 and 6,401.88

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Solution

The fourth proportional to 8,410.68, 11,584.86 and 6,401.88 is: 8,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.68 : 11,584.86 = 6,401.88 : x
  2. Step 2: Convert to fraction form
    8,410.68/11,584.86 = 6,401.88/x
  3. Step 3: Cross multiply
    8,410.68x = 11,584.86 × 6,401.88
  4. Step 4: Simplify right side
    8,410.68x = 74,164,883.54
  5. Step 5: Solve for x
    x = 74,164,883.54/8,410.68
  6. Step 6: Final answer
    x = 8,817.94

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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.