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Finding the Fourth Proportional to 7,882, 11,820.84 and 2,953.60

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Solution

The fourth proportional to 7,882, 11,820.84 and 2,953.60 is: 4,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 11,820.84 = 2,953.60 : x
  2. Step 2: Convert to fraction form
    7,882/11,820.84 = 2,953.60/x
  3. Step 3: Cross multiply
    7,882x = 11,820.84 × 2,953.60
  4. Step 4: Simplify right side
    7,882x = 34,914,033.02
  5. Step 5: Solve for x
    x = 34,914,033.02/7,882
  6. Step 6: Final answer
    x = 4,429.59

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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.