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Finding the Fourth Proportional to 9,005, 12,428.34 and 5,279

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Solution

The fourth proportional to 9,005, 12,428.34 and 5,279 is: 7,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 12,428.34 = 5,279 : x
  2. Step 2: Convert to fraction form
    9,005/12,428.34 = 5,279/x
  3. Step 3: Cross multiply
    9,005x = 12,428.34 × 5,279
  4. Step 4: Simplify right side
    9,005x = 65,609,206.86
  5. Step 5: Solve for x
    x = 65,609,206.86/9,005
  6. Step 6: Final answer
    x = 7,285.86

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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.