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Finding the Fourth Proportional to 8,006.82, 11,989.20 and 5,654.10

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Solution

The fourth proportional to 8,006.82, 11,989.20 and 5,654.10 is: 8,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.82 : 11,989.20 = 5,654.10 : x
  2. Step 2: Convert to fraction form
    8,006.82/11,989.20 = 5,654.10/x
  3. Step 3: Cross multiply
    8,006.82x = 11,989.20 × 5,654.10
  4. Step 4: Simplify right side
    8,006.82x = 67,788,135.72
  5. Step 5: Solve for x
    x = 67,788,135.72/8,006.82
  6. Step 6: Final answer
    x = 8,466.30

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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.