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Finding the Fourth Proportional to 17,967, 26,954.86 and 5,655

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Solution

The fourth proportional to 17,967, 26,954.86 and 5,655 is: 8,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967 : 26,954.86 = 5,655 : x
  2. Step 2: Convert to fraction form
    17,967/26,954.86 = 5,655/x
  3. Step 3: Cross multiply
    17,967x = 26,954.86 × 5,655
  4. Step 4: Simplify right side
    17,967x = 152,429,733.30
  5. Step 5: Solve for x
    x = 152,429,733.30/17,967
  6. Step 6: Final answer
    x = 8,483.87

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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.