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Finding the Fourth Proportional to 26,911.50, 40,373.73 and 8,443.50

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Solution

The fourth proportional to 26,911.50, 40,373.73 and 8,443.50 is: 12,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,911.50 : 40,373.73 = 8,443.50 : x
  2. Step 2: Convert to fraction form
    26,911.50/40,373.73 = 8,443.50/x
  3. Step 3: Cross multiply
    26,911.50x = 40,373.73 × 8,443.50
  4. Step 4: Simplify right side
    26,911.50x = 340,895,589.26
  5. Step 5: Solve for x
    x = 340,895,589.26/26,911.50
  6. Step 6: Final answer
    x = 12,667.28

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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.