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Finding the Fourth Proportional to 9,341.75, 12,902.78 and 6,819.81

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Solution

The fourth proportional to 9,341.75, 12,902.78 and 6,819.81 is: 9,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.75 : 12,902.78 = 6,819.81 : x
  2. Step 2: Convert to fraction form
    9,341.75/12,902.78 = 6,819.81/x
  3. Step 3: Cross multiply
    9,341.75x = 12,902.78 × 6,819.81
  4. Step 4: Simplify right side
    9,341.75x = 87,994,473.97
  5. Step 5: Solve for x
    x = 87,994,473.97/9,341.75
  6. Step 6: Final answer
    x = 9,419.49

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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.