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Finding the Fourth Proportional to 19,966, 29,950.44 and 7,654

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Solution

The fourth proportional to 19,966, 29,950.44 and 7,654 is: 11,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966 : 29,950.44 = 7,654 : x
  2. Step 2: Convert to fraction form
    19,966/29,950.44 = 7,654/x
  3. Step 3: Cross multiply
    19,966x = 29,950.44 × 7,654
  4. Step 4: Simplify right side
    19,966x = 229,240,667.76
  5. Step 5: Solve for x
    x = 229,240,667.76/19,966
  6. Step 6: Final answer
    x = 11,481.55

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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.