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Finding the Fourth Proportional to 26,564.88, 39,840.93 and 7,839.86

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Solution

The fourth proportional to 26,564.88, 39,840.93 and 7,839.86 is: 11,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.88 : 39,840.93 = 7,839.86 : x
  2. Step 2: Convert to fraction form
    26,564.88/39,840.93 = 7,839.86/x
  3. Step 3: Cross multiply
    26,564.88x = 39,840.93 × 7,839.86
  4. Step 4: Simplify right side
    26,564.88x = 312,347,313.47
  5. Step 5: Solve for x
    x = 312,347,313.47/26,564.88
  6. Step 6: Final answer
    x = 11,757.90

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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.