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Finding the Fourth Proportional to 26,311, 39,470.96 and 11,519.56

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Solution

The fourth proportional to 26,311, 39,470.96 and 11,519.56 is: 17,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311 : 39,470.96 = 11,519.56 : x
  2. Step 2: Convert to fraction form
    26,311/39,470.96 = 11,519.56/x
  3. Step 3: Cross multiply
    26,311x = 39,470.96 × 11,519.56
  4. Step 4: Simplify right side
    26,311x = 454,688,091.98
  5. Step 5: Solve for x
    x = 454,688,091.98/26,311
  6. Step 6: Final answer
    x = 17,281.29

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1.5x scale

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.