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Finding the Fourth Proportional to 7,894.62, 11,812.74 and 6,494.94

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Solution

The fourth proportional to 7,894.62, 11,812.74 and 6,494.94 is: 9,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.62 : 11,812.74 = 6,494.94 : x
  2. Step 2: Convert to fraction form
    7,894.62/11,812.74 = 6,494.94/x
  3. Step 3: Cross multiply
    7,894.62x = 11,812.74 × 6,494.94
  4. Step 4: Simplify right side
    7,894.62x = 76,723,037.54
  5. Step 5: Solve for x
    x = 76,723,037.54/7,894.62
  6. Step 6: Final answer
    x = 9,718.40

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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.