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Finding the Fourth Proportional to 15,114, 20,860.62 and 8,401.92

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Solution

The fourth proportional to 15,114, 20,860.62 and 8,401.92 is: 11,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 20,860.62 = 8,401.92 : x
  2. Step 2: Convert to fraction form
    15,114/20,860.62 = 8,401.92/x
  3. Step 3: Cross multiply
    15,114x = 20,860.62 × 8,401.92
  4. Step 4: Simplify right side
    15,114x = 175,269,260.39
  5. Step 5: Solve for x
    x = 175,269,260.39/15,114
  6. Step 6: Final answer
    x = 11,596.48

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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.