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Finding the Fourth Proportional to 9,179.62, 12,665.79 and 5,199.82

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Solution

The fourth proportional to 9,179.62, 12,665.79 and 5,199.82 is: 7,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.62 : 12,665.79 = 5,199.82 : x
  2. Step 2: Convert to fraction form
    9,179.62/12,665.79 = 5,199.82/x
  3. Step 3: Cross multiply
    9,179.62x = 12,665.79 × 5,199.82
  4. Step 4: Simplify right side
    9,179.62x = 65,859,828.16
  5. Step 5: Solve for x
    x = 65,859,828.16/9,179.62
  6. Step 6: Final answer
    x = 7,174.57

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1.5x scale

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.