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Finding the Fourth Proportional to 20,296.36, 30,430.77 and 7,147

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Solution

The fourth proportional to 20,296.36, 30,430.77 and 7,147 is: 10,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.36 : 30,430.77 = 7,147 : x
  2. Step 2: Convert to fraction form
    20,296.36/30,430.77 = 7,147/x
  3. Step 3: Cross multiply
    20,296.36x = 30,430.77 × 7,147
  4. Step 4: Simplify right side
    20,296.36x = 217,488,713.19
  5. Step 5: Solve for x
    x = 217,488,713.19/20,296.36
  6. Step 6: Final answer
    x = 10,715.65

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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.