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Finding the Fourth Proportional to 8,682, 13,023.65 and 3,487.89

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Solution

The fourth proportional to 8,682, 13,023.65 and 3,487.89 is: 5,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 13,023.65 = 3,487.89 : x
  2. Step 2: Convert to fraction form
    8,682/13,023.65 = 3,487.89/x
  3. Step 3: Cross multiply
    8,682x = 13,023.65 × 3,487.89
  4. Step 4: Simplify right side
    8,682x = 45,425,041.16
  5. Step 5: Solve for x
    x = 45,425,041.16/8,682
  6. Step 6: Final answer
    x = 5,232.09

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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.