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Finding the Fourth Proportional to 7,684, 11,531.12 and 2,820

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Solution

The fourth proportional to 7,684, 11,531.12 and 2,820 is: 4,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 11,531.12 = 2,820 : x
  2. Step 2: Convert to fraction form
    7,684/11,531.12 = 2,820/x
  3. Step 3: Cross multiply
    7,684x = 11,531.12 × 2,820
  4. Step 4: Simplify right side
    7,684x = 32,517,758.40
  5. Step 5: Solve for x
    x = 32,517,758.40/7,684
  6. Step 6: Final answer
    x = 4,231.88

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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.