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Finding the Fourth Proportional to 26,644, 36,768.72 and 14,868

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Solution

The fourth proportional to 26,644, 36,768.72 and 14,868 is: 20,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,644 : 36,768.72 = 14,868 : x
  2. Step 2: Convert to fraction form
    26,644/36,768.72 = 14,868/x
  3. Step 3: Cross multiply
    26,644x = 36,768.72 × 14,868
  4. Step 4: Simplify right side
    26,644x = 546,677,328.96
  5. Step 5: Solve for x
    x = 546,677,328.96/26,644
  6. Step 6: Final answer
    x = 20,517.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.