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Finding the Fourth Proportional to 8,761.52, 13,141.53 and 3,214.64

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Solution

The fourth proportional to 8,761.52, 13,141.53 and 3,214.64 is: 4,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.52 : 13,141.53 = 3,214.64 : x
  2. Step 2: Convert to fraction form
    8,761.52/13,141.53 = 3,214.64/x
  3. Step 3: Cross multiply
    8,761.52x = 13,141.53 × 3,214.64
  4. Step 4: Simplify right side
    8,761.52x = 42,245,222.29
  5. Step 5: Solve for x
    x = 42,245,222.29/8,761.52
  6. Step 6: Final answer
    x = 4,821.68

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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.