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Finding the Fourth Proportional to 8,461.50, 11,676.87 and 5,149.50

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Solution

The fourth proportional to 8,461.50, 11,676.87 and 5,149.50 is: 7,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.50 : 11,676.87 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    8,461.50/11,676.87 = 5,149.50/x
  3. Step 3: Cross multiply
    8,461.50x = 11,676.87 × 5,149.50
  4. Step 4: Simplify right side
    8,461.50x = 60,130,042.07
  5. Step 5: Solve for x
    x = 60,130,042.07/8,461.50
  6. Step 6: Final answer
    x = 7,106.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.