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Finding the Fourth Proportional to 7,676.29, 11,513.29 and 2,129.06

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Solution

The fourth proportional to 7,676.29, 11,513.29 and 2,129.06 is: 3,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.29 : 11,513.29 = 2,129.06 : x
  2. Step 2: Convert to fraction form
    7,676.29/11,513.29 = 2,129.06/x
  3. Step 3: Cross multiply
    7,676.29x = 11,513.29 × 2,129.06
  4. Step 4: Simplify right side
    7,676.29x = 24,512,485.21
  5. Step 5: Solve for x
    x = 24,512,485.21/7,676.29
  6. Step 6: Final answer
    x = 3,193.27

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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.