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Finding the Fourth Proportional to 26,580, 39,887.28 and 10,164

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Solution

The fourth proportional to 26,580, 39,887.28 and 10,164 is: 15,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 39,887.28 = 10,164 : x
  2. Step 2: Convert to fraction form
    26,580/39,887.28 = 10,164/x
  3. Step 3: Cross multiply
    26,580x = 39,887.28 × 10,164
  4. Step 4: Simplify right side
    26,580x = 405,414,313.92
  5. Step 5: Solve for x
    x = 405,414,313.92/26,580
  6. Step 6: Final answer
    x = 15,252.61

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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.