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Finding the Fourth Proportional to 20,928, 28,885.92 and 11,978.30

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Solution

The fourth proportional to 20,928, 28,885.92 and 11,978.30 is: 16,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928 : 28,885.92 = 11,978.30 : x
  2. Step 2: Convert to fraction form
    20,928/28,885.92 = 11,978.30/x
  3. Step 3: Cross multiply
    20,928x = 28,885.92 × 11,978.30
  4. Step 4: Simplify right side
    20,928x = 346,004,215.54
  5. Step 5: Solve for x
    x = 346,004,215.54/20,928
  6. Step 6: Final answer
    x = 16,533.08

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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.