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Finding the Fourth Proportional to 14,455.53, 19,949.12 and 8,168.31

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Solution

The fourth proportional to 14,455.53, 19,949.12 and 8,168.31 is: 11,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.53 : 19,949.12 = 8,168.31 : x
  2. Step 2: Convert to fraction form
    14,455.53/19,949.12 = 8,168.31/x
  3. Step 3: Cross multiply
    14,455.53x = 19,949.12 × 8,168.31
  4. Step 4: Simplify right side
    14,455.53x = 162,950,555.55
  5. Step 5: Solve for x
    x = 162,950,555.55/14,455.53
  6. Step 6: Final answer
    x = 11,272.54

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1.5x scale

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.