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Finding the Fourth Proportional to 13,672.08, 18,866.52 and 8,082

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Solution

The fourth proportional to 13,672.08, 18,866.52 and 8,082 is: 11,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.08 : 18,866.52 = 8,082 : x
  2. Step 2: Convert to fraction form
    13,672.08/18,866.52 = 8,082/x
  3. Step 3: Cross multiply
    13,672.08x = 18,866.52 × 8,082
  4. Step 4: Simplify right side
    13,672.08x = 152,479,214.64
  5. Step 5: Solve for x
    x = 152,479,214.64/13,672.08
  6. Step 6: Final answer
    x = 11,152.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.