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Finding the Fourth Proportional to 14,825.88, 20,460 and 8,111.94

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Solution

The fourth proportional to 14,825.88, 20,460 and 8,111.94 is: 11,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.88 : 20,460 = 8,111.94 : x
  2. Step 2: Convert to fraction form
    14,825.88/20,460 = 8,111.94/x
  3. Step 3: Cross multiply
    14,825.88x = 20,460 × 8,111.94
  4. Step 4: Simplify right side
    14,825.88x = 165,970,292.40
  5. Step 5: Solve for x
    x = 165,970,292.40/14,825.88
  6. Step 6: Final answer
    x = 11,194.63

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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.