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Finding the Fourth Proportional to 8,676.71, 13,020.42 and 3,410.80

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Solution

The fourth proportional to 8,676.71, 13,020.42 and 3,410.80 is: 5,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.71 : 13,020.42 = 3,410.80 : x
  2. Step 2: Convert to fraction form
    8,676.71/13,020.42 = 3,410.80/x
  3. Step 3: Cross multiply
    8,676.71x = 13,020.42 × 3,410.80
  4. Step 4: Simplify right side
    8,676.71x = 44,409,966.38
  5. Step 5: Solve for x
    x = 44,409,966.38/8,676.71
  6. Step 6: Final answer
    x = 5,118.30

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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.