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Finding the Fourth Proportional to 6,884.40, 10,334.70 and 6,835.80

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Solution

The fourth proportional to 6,884.40, 10,334.70 and 6,835.80 is: 10,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.40 : 10,334.70 = 6,835.80 : x
  2. Step 2: Convert to fraction form
    6,884.40/10,334.70 = 6,835.80/x
  3. Step 3: Cross multiply
    6,884.40x = 10,334.70 × 6,835.80
  4. Step 4: Simplify right side
    6,884.40x = 70,645,942.26
  5. Step 5: Solve for x
    x = 70,645,942.26/6,884.40
  6. Step 6: Final answer
    x = 10,261.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.