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Finding the Fourth Proportional to 8,448.62, 11,659.68 and 4,671.70

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Solution

The fourth proportional to 8,448.62, 11,659.68 and 4,671.70 is: 6,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.62 : 11,659.68 = 4,671.70 : x
  2. Step 2: Convert to fraction form
    8,448.62/11,659.68 = 4,671.70/x
  3. Step 3: Cross multiply
    8,448.62x = 11,659.68 × 4,671.70
  4. Step 4: Simplify right side
    8,448.62x = 54,470,527.06
  5. Step 5: Solve for x
    x = 54,470,527.06/8,448.62
  6. Step 6: Final answer
    x = 6,447.27

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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.