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Finding the Fourth Proportional to 8,359.91, 12,541.23 and 2,813.74

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Solution

The fourth proportional to 8,359.91, 12,541.23 and 2,813.74 is: 4,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.91 : 12,541.23 = 2,813.74 : x
  2. Step 2: Convert to fraction form
    8,359.91/12,541.23 = 2,813.74/x
  3. Step 3: Cross multiply
    8,359.91x = 12,541.23 × 2,813.74
  4. Step 4: Simplify right side
    8,359.91x = 35,287,729.15
  5. Step 5: Solve for x
    x = 35,287,729.15/8,359.91
  6. Step 6: Final answer
    x = 4,221.07

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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.