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Finding the Fourth Proportional to 26,921, 40,381.86 and 8,453

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Solution

The fourth proportional to 26,921, 40,381.86 and 8,453 is: 12,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,921 : 40,381.86 = 8,453 : x
  2. Step 2: Convert to fraction form
    26,921/40,381.86 = 8,453/x
  3. Step 3: Cross multiply
    26,921x = 40,381.86 × 8,453
  4. Step 4: Simplify right side
    26,921x = 341,347,862.58
  5. Step 5: Solve for x
    x = 341,347,862.58/26,921
  6. Step 6: Final answer
    x = 12,679.61

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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.