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Finding the Fourth Proportional to 14,092.80, 19,448 and 8,125.60

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Solution

The fourth proportional to 14,092.80, 19,448 and 8,125.60 is: 11,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.80 : 19,448 = 8,125.60 : x
  2. Step 2: Convert to fraction form
    14,092.80/19,448 = 8,125.60/x
  3. Step 3: Cross multiply
    14,092.80x = 19,448 × 8,125.60
  4. Step 4: Simplify right side
    14,092.80x = 158,026,668.80
  5. Step 5: Solve for x
    x = 158,026,668.80/14,092.80
  6. Step 6: Final answer
    x = 11,213.29

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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.