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Finding the Fourth Proportional to 19,692, 27,174.72 and 11,307.84

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Solution

The fourth proportional to 19,692, 27,174.72 and 11,307.84 is: 15,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692 : 27,174.72 = 11,307.84 : x
  2. Step 2: Convert to fraction form
    19,692/27,174.72 = 11,307.84/x
  3. Step 3: Cross multiply
    19,692x = 27,174.72 × 11,307.84
  4. Step 4: Simplify right side
    19,692x = 307,287,385.80
  5. Step 5: Solve for x
    x = 307,287,385.80/19,692
  6. Step 6: Final answer
    x = 15,604.68

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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.