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Finding the Fourth Proportional to 20,296.65, 30,458.48 and 7,149

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Solution

The fourth proportional to 20,296.65, 30,458.48 and 7,149 is: 10,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.65 : 30,458.48 = 7,149 : x
  2. Step 2: Convert to fraction form
    20,296.65/30,458.48 = 7,149/x
  3. Step 3: Cross multiply
    20,296.65x = 30,458.48 × 7,149
  4. Step 4: Simplify right side
    20,296.65x = 217,747,637.78
  5. Step 5: Solve for x
    x = 217,747,637.78/20,296.65
  6. Step 6: Final answer
    x = 10,728.26

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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.