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Finding the Fourth Proportional to 14,229.73, 19,638.11 and 7,857.54

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Solution

The fourth proportional to 14,229.73, 19,638.11 and 7,857.54 is: 10,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.73 : 19,638.11 = 7,857.54 : x
  2. Step 2: Convert to fraction form
    14,229.73/19,638.11 = 7,857.54/x
  3. Step 3: Cross multiply
    14,229.73x = 19,638.11 × 7,857.54
  4. Step 4: Simplify right side
    14,229.73x = 154,307,234.85
  5. Step 5: Solve for x
    x = 154,307,234.85/14,229.73
  6. Step 6: Final answer
    x = 10,844.00

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1.5x scale

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.