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Finding the Fourth Proportional to 7,843, 10,824.30 and 4,531

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Solution

The fourth proportional to 7,843, 10,824.30 and 4,531 is: 6,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843 : 10,824.30 = 4,531 : x
  2. Step 2: Convert to fraction form
    7,843/10,824.30 = 4,531/x
  3. Step 3: Cross multiply
    7,843x = 10,824.30 × 4,531
  4. Step 4: Simplify right side
    7,843x = 49,044,903.30
  5. Step 5: Solve for x
    x = 49,044,903.30/7,843
  6. Step 6: Final answer
    x = 6,253.33

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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.