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Finding the Fourth Proportional to 19,928, 29,816.76 and 11,892.98

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Solution

The fourth proportional to 19,928, 29,816.76 and 11,892.98 is: 17,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928 : 29,816.76 = 11,892.98 : x
  2. Step 2: Convert to fraction form
    19,928/29,816.76 = 11,892.98/x
  3. Step 3: Cross multiply
    19,928x = 29,816.76 × 11,892.98
  4. Step 4: Simplify right side
    19,928x = 354,610,130.34
  5. Step 5: Solve for x
    x = 354,610,130.34/19,928
  6. Step 6: Final answer
    x = 17,794.57

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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.