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Finding the Fourth Proportional to 8,359.75, 12,541.16 and 6,813.47

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Solution

The fourth proportional to 8,359.75, 12,541.16 and 6,813.47 is: 10,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.75 : 12,541.16 = 6,813.47 : x
  2. Step 2: Convert to fraction form
    8,359.75/12,541.16 = 6,813.47/x
  3. Step 3: Cross multiply
    8,359.75x = 12,541.16 × 6,813.47
  4. Step 4: Simplify right side
    8,359.75x = 85,448,811.38
  5. Step 5: Solve for x
    x = 85,448,811.38/8,359.75
  6. Step 6: Final answer
    x = 10,221.46

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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.