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Finding the Fourth Proportional to 14,295.68, 19,728 and 8,008

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Solution

The fourth proportional to 14,295.68, 19,728 and 8,008 is: 11,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.68 : 19,728 = 8,008 : x
  2. Step 2: Convert to fraction form
    14,295.68/19,728 = 8,008/x
  3. Step 3: Cross multiply
    14,295.68x = 19,728 × 8,008
  4. Step 4: Simplify right side
    14,295.68x = 157,981,824
  5. Step 5: Solve for x
    x = 157,981,824/14,295.68
  6. Step 6: Final answer
    x = 11,051.02

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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.