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Finding the Fourth Proportional to 26,011.20, 39,012.84 and 8,481

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Solution

The fourth proportional to 26,011.20, 39,012.84 and 8,481 is: 12,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011.20 : 39,012.84 = 8,481 : x
  2. Step 2: Convert to fraction form
    26,011.20/39,012.84 = 8,481/x
  3. Step 3: Cross multiply
    26,011.20x = 39,012.84 × 8,481
  4. Step 4: Simplify right side
    26,011.20x = 330,867,896.04
  5. Step 5: Solve for x
    x = 330,867,896.04/26,011.20
  6. Step 6: Final answer
    x = 12,720.21

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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.