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Finding the Fourth Proportional to 26,545, 39,824.70 and 8,077

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Solution

The fourth proportional to 26,545, 39,824.70 and 8,077 is: 12,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,545 : 39,824.70 = 8,077 : x
  2. Step 2: Convert to fraction form
    26,545/39,824.70 = 8,077/x
  3. Step 3: Cross multiply
    26,545x = 39,824.70 × 8,077
  4. Step 4: Simplify right side
    26,545x = 321,664,101.90
  5. Step 5: Solve for x
    x = 321,664,101.90/26,545
  6. Step 6: Final answer
    x = 12,117.69

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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.