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Finding the Fourth Proportional to 14,986, 20,680.68 and 8,362

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Solution

The fourth proportional to 14,986, 20,680.68 and 8,362 is: 11,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986 : 20,680.68 = 8,362 : x
  2. Step 2: Convert to fraction form
    14,986/20,680.68 = 8,362/x
  3. Step 3: Cross multiply
    14,986x = 20,680.68 × 8,362
  4. Step 4: Simplify right side
    14,986x = 172,931,846.16
  5. Step 5: Solve for x
    x = 172,931,846.16/14,986
  6. Step 6: Final answer
    x = 11,539.56

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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.