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Finding the Fourth Proportional to 5,672.82, 8,511.64 and 2,386.64

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Solution

The fourth proportional to 5,672.82, 8,511.64 and 2,386.64 is: 3,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.82 : 8,511.64 = 2,386.64 : x
  2. Step 2: Convert to fraction form
    5,672.82/8,511.64 = 2,386.64/x
  3. Step 3: Cross multiply
    5,672.82x = 8,511.64 × 2,386.64
  4. Step 4: Simplify right side
    5,672.82x = 20,314,220.49
  5. Step 5: Solve for x
    x = 20,314,220.49/5,672.82
  6. Step 6: Final answer
    x = 3,580.97

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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.