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Finding the Fourth Proportional to 27,406, 37,820.28 and 14,830.84

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Solution

The fourth proportional to 27,406, 37,820.28 and 14,830.84 is: 20,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 37,820.28 = 14,830.84 : x
  2. Step 2: Convert to fraction form
    27,406/37,820.28 = 14,830.84/x
  3. Step 3: Cross multiply
    27,406x = 37,820.28 × 14,830.84
  4. Step 4: Simplify right side
    27,406x = 560,906,521.44
  5. Step 5: Solve for x
    x = 560,906,521.44/27,406
  6. Step 6: Final answer
    x = 20,466.56

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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.