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Finding the Fourth Proportional to 26,208, 39,333.87 and 12,357

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Solution

The fourth proportional to 26,208, 39,333.87 and 12,357 is: 18,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 39,333.87 = 12,357 : x
  2. Step 2: Convert to fraction form
    26,208/39,333.87 = 12,357/x
  3. Step 3: Cross multiply
    26,208x = 39,333.87 × 12,357
  4. Step 4: Simplify right side
    26,208x = 486,048,631.59
  5. Step 5: Solve for x
    x = 486,048,631.59/26,208
  6. Step 6: Final answer
    x = 18,545.81

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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.