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Finding the Fourth Proportional to 19,819, 29,728.48 and 5,027.88

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Solution

The fourth proportional to 19,819, 29,728.48 and 5,027.88 is: 7,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819 : 29,728.48 = 5,027.88 : x
  2. Step 2: Convert to fraction form
    19,819/29,728.48 = 5,027.88/x
  3. Step 3: Cross multiply
    19,819x = 29,728.48 × 5,027.88
  4. Step 4: Simplify right side
    19,819x = 149,471,230.02
  5. Step 5: Solve for x
    x = 149,471,230.02/19,819
  6. Step 6: Final answer
    x = 7,541.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.