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Finding the Fourth Proportional to 8,511.31, 12,764.13 and 3,580.03

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Solution

The fourth proportional to 8,511.31, 12,764.13 and 3,580.03 is: 5,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.31 : 12,764.13 = 3,580.03 : x
  2. Step 2: Convert to fraction form
    8,511.31/12,764.13 = 3,580.03/x
  3. Step 3: Cross multiply
    8,511.31x = 12,764.13 × 3,580.03
  4. Step 4: Simplify right side
    8,511.31x = 45,695,968.32
  5. Step 5: Solve for x
    x = 45,695,968.32/8,511.31
  6. Step 6: Final answer
    x = 5,368.85

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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.