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Finding the Fourth Proportional to 7,713.96, 11,494.09 and 6,885.90

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Solution

The fourth proportional to 7,713.96, 11,494.09 and 6,885.90 is: 10,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.96 : 11,494.09 = 6,885.90 : x
  2. Step 2: Convert to fraction form
    7,713.96/11,494.09 = 6,885.90/x
  3. Step 3: Cross multiply
    7,713.96x = 11,494.09 × 6,885.90
  4. Step 4: Simplify right side
    7,713.96x = 79,147,137.09
  5. Step 5: Solve for x
    x = 79,147,137.09/7,713.96
  6. Step 6: Final answer
    x = 10,260.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.