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Finding the Fourth Proportional to 19,771.80, 29,653.02 and 5,728.11

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Solution

The fourth proportional to 19,771.80, 29,653.02 and 5,728.11 is: 8,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.80 : 29,653.02 = 5,728.11 : x
  2. Step 2: Convert to fraction form
    19,771.80/29,653.02 = 5,728.11/x
  3. Step 3: Cross multiply
    19,771.80x = 29,653.02 × 5,728.11
  4. Step 4: Simplify right side
    19,771.80x = 169,855,760.39
  5. Step 5: Solve for x
    x = 169,855,760.39/19,771.80
  6. Step 6: Final answer
    x = 8,590.81

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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.