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Finding the Fourth Proportional to 27,996, 38,634.48 and 15,421.56

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Solution

The fourth proportional to 27,996, 38,634.48 and 15,421.56 is: 21,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996 : 38,634.48 = 15,421.56 : x
  2. Step 2: Convert to fraction form
    27,996/38,634.48 = 15,421.56/x
  3. Step 3: Cross multiply
    27,996x = 38,634.48 × 15,421.56
  4. Step 4: Simplify right side
    27,996x = 595,803,951.39
  5. Step 5: Solve for x
    x = 595,803,951.39/27,996
  6. Step 6: Final answer
    x = 21,281.75

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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.