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Finding the Fourth Proportional to 8,959, 13,372.74 and 8,299.26

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Solution

The fourth proportional to 8,959, 13,372.74 and 8,299.26 is: 12,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959 : 13,372.74 = 8,299.26 : x
  2. Step 2: Convert to fraction form
    8,959/13,372.74 = 8,299.26/x
  3. Step 3: Cross multiply
    8,959x = 13,372.74 × 8,299.26
  4. Step 4: Simplify right side
    8,959x = 110,983,846.17
  5. Step 5: Solve for x
    x = 110,983,846.17/8,959
  6. Step 6: Final answer
    x = 12,387.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.