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Finding the Fourth Proportional to 14,766, 20,378.66 and 9,099.54

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Solution

The fourth proportional to 14,766, 20,378.66 and 9,099.54 is: 12,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 20,378.66 = 9,099.54 : x
  2. Step 2: Convert to fraction form
    14,766/20,378.66 = 9,099.54/x
  3. Step 3: Cross multiply
    14,766x = 20,378.66 × 9,099.54
  4. Step 4: Simplify right side
    14,766x = 185,436,431.82
  5. Step 5: Solve for x
    x = 185,436,431.82/14,766
  6. Step 6: Final answer
    x = 12,558.34

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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.