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Finding the Fourth Proportional to 20,996, 31,499.40 and 7,848.46

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Solution

The fourth proportional to 20,996, 31,499.40 and 7,848.46 is: 11,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 31,499.40 = 7,848.46 : x
  2. Step 2: Convert to fraction form
    20,996/31,499.40 = 7,848.46/x
  3. Step 3: Cross multiply
    20,996x = 31,499.40 × 7,848.46
  4. Step 4: Simplify right side
    20,996x = 247,221,780.92
  5. Step 5: Solve for x
    x = 247,221,780.92/20,996
  6. Step 6: Final answer
    x = 11,774.71

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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.