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Finding the Fourth Proportional to 14,230.88, 19,638.50 and 7,857.48

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Solution

The fourth proportional to 14,230.88, 19,638.50 and 7,857.48 is: 10,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.88 : 19,638.50 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    14,230.88/19,638.50 = 7,857.48/x
  3. Step 3: Cross multiply
    14,230.88x = 19,638.50 × 7,857.48
  4. Step 4: Simplify right side
    14,230.88x = 154,309,120.98
  5. Step 5: Solve for x
    x = 154,309,120.98/14,230.88
  6. Step 6: Final answer
    x = 10,843.26

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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.