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Finding the Fourth Proportional to 26,977, 40,472.70 and 8,509

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Solution

The fourth proportional to 26,977, 40,472.70 and 8,509 is: 12,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977 : 40,472.70 = 8,509 : x
  2. Step 2: Convert to fraction form
    26,977/40,472.70 = 8,509/x
  3. Step 3: Cross multiply
    26,977x = 40,472.70 × 8,509
  4. Step 4: Simplify right side
    26,977x = 344,382,204.30
  5. Step 5: Solve for x
    x = 344,382,204.30/26,977
  6. Step 6: Final answer
    x = 12,765.77

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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.