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Finding the Fourth Proportional to 8,172, 11,279.92 and 5,228

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Solution

The fourth proportional to 8,172, 11,279.92 and 5,228 is: 7,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172 : 11,279.92 = 5,228 : x
  2. Step 2: Convert to fraction form
    8,172/11,279.92 = 5,228/x
  3. Step 3: Cross multiply
    8,172x = 11,279.92 × 5,228
  4. Step 4: Simplify right side
    8,172x = 58,971,421.76
  5. Step 5: Solve for x
    x = 58,971,421.76/8,172
  6. Step 6: Final answer
    x = 7,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.