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Finding the Fourth Proportional to 26,806, 36,992.28 and 14,871.12

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Solution

The fourth proportional to 26,806, 36,992.28 and 14,871.12 is: 20,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 36,992.28 = 14,871.12 : x
  2. Step 2: Convert to fraction form
    26,806/36,992.28 = 14,871.12/x
  3. Step 3: Cross multiply
    26,806x = 36,992.28 × 14,871.12
  4. Step 4: Simplify right side
    26,806x = 550,116,634.95
  5. Step 5: Solve for x
    x = 550,116,634.95/26,806
  6. Step 6: Final answer
    x = 20,522.15

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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.