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Finding the Fourth Proportional to 14,449, 19,939.62 and 7,825

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Solution

The fourth proportional to 14,449, 19,939.62 and 7,825 is: 10,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449 : 19,939.62 = 7,825 : x
  2. Step 2: Convert to fraction form
    14,449/19,939.62 = 7,825/x
  3. Step 3: Cross multiply
    14,449x = 19,939.62 × 7,825
  4. Step 4: Simplify right side
    14,449x = 156,027,526.50
  5. Step 5: Solve for x
    x = 156,027,526.50/14,449
  6. Step 6: Final answer
    x = 10,798.50

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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.