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Finding the Fourth Proportional to 20,191.52, 30,292.32 and 7,044

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Solution

The fourth proportional to 20,191.52, 30,292.32 and 7,044 is: 10,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.52 : 30,292.32 = 7,044 : x
  2. Step 2: Convert to fraction form
    20,191.52/30,292.32 = 7,044/x
  3. Step 3: Cross multiply
    20,191.52x = 30,292.32 × 7,044
  4. Step 4: Simplify right side
    20,191.52x = 213,379,102.08
  5. Step 5: Solve for x
    x = 213,379,102.08/20,191.52
  6. Step 6: Final answer
    x = 10,567.76

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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.