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Finding the Fourth Proportional to 15,138, 20,893.14 and 14,473.80

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Solution

The fourth proportional to 15,138, 20,893.14 and 14,473.80 is: 19,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 20,893.14 = 14,473.80 : x
  2. Step 2: Convert to fraction form
    15,138/20,893.14 = 14,473.80/x
  3. Step 3: Cross multiply
    15,138x = 20,893.14 × 14,473.80
  4. Step 4: Simplify right side
    15,138x = 302,403,129.73
  5. Step 5: Solve for x
    x = 302,403,129.73/15,138
  6. Step 6: Final answer
    x = 19,976.43

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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.