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Finding the Fourth Proportional to 26,740, 40,078.68 and 9,194.32

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Solution

The fourth proportional to 26,740, 40,078.68 and 9,194.32 is: 13,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740 : 40,078.68 = 9,194.32 : x
  2. Step 2: Convert to fraction form
    26,740/40,078.68 = 9,194.32/x
  3. Step 3: Cross multiply
    26,740x = 40,078.68 × 9,194.32
  4. Step 4: Simplify right side
    26,740x = 368,496,209.10
  5. Step 5: Solve for x
    x = 368,496,209.10/26,740
  6. Step 6: Final answer
    x = 13,780.71

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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.