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Finding the Fourth Proportional to 7,676.84, 11,455.38 and 6,849.42

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Solution

The fourth proportional to 7,676.84, 11,455.38 and 6,849.42 is: 10,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.84 : 11,455.38 = 6,849.42 : x
  2. Step 2: Convert to fraction form
    7,676.84/11,455.38 = 6,849.42/x
  3. Step 3: Cross multiply
    7,676.84x = 11,455.38 × 6,849.42
  4. Step 4: Simplify right side
    7,676.84x = 78,462,674.63
  5. Step 5: Solve for x
    x = 78,462,674.63/7,676.84
  6. Step 6: Final answer
    x = 10,220.71

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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.