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Finding the Fourth Proportional to 19,666, 29,506.02 and 9,141.04

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Solution

The fourth proportional to 19,666, 29,506.02 and 9,141.04 is: 13,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666 : 29,506.02 = 9,141.04 : x
  2. Step 2: Convert to fraction form
    19,666/29,506.02 = 9,141.04/x
  3. Step 3: Cross multiply
    19,666x = 29,506.02 × 9,141.04
  4. Step 4: Simplify right side
    19,666x = 269,715,709.06
  5. Step 5: Solve for x
    x = 269,715,709.06/19,666
  6. Step 6: Final answer
    x = 13,714.82

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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.