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Finding the Fourth Proportional to 5,122.92, 7,676.94 and 2,780.94

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Solution

The fourth proportional to 5,122.92, 7,676.94 and 2,780.94 is: 4,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.92 : 7,676.94 = 2,780.94 : x
  2. Step 2: Convert to fraction form
    5,122.92/7,676.94 = 2,780.94/x
  3. Step 3: Cross multiply
    5,122.92x = 7,676.94 × 2,780.94
  4. Step 4: Simplify right side
    5,122.92x = 21,349,109.52
  5. Step 5: Solve for x
    x = 21,349,109.52/5,122.92
  6. Step 6: Final answer
    x = 4,167.37

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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.