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Finding the Fourth Proportional to 7,894.64, 11,841.96 and 3,216.62

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Solution

The fourth proportional to 7,894.64, 11,841.96 and 3,216.62 is: 4,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.64 : 11,841.96 = 3,216.62 : x
  2. Step 2: Convert to fraction form
    7,894.64/11,841.96 = 3,216.62/x
  3. Step 3: Cross multiply
    7,894.64x = 11,841.96 × 3,216.62
  4. Step 4: Simplify right side
    7,894.64x = 38,091,085.38
  5. Step 5: Solve for x
    x = 38,091,085.38/7,894.64
  6. Step 6: Final answer
    x = 4,824.93

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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.