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Finding the Fourth Proportional to 19,957.12, 29,939.73 and 7,476.91

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Solution

The fourth proportional to 19,957.12, 29,939.73 and 7,476.91 is: 11,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.12 : 29,939.73 = 7,476.91 : x
  2. Step 2: Convert to fraction form
    19,957.12/29,939.73 = 7,476.91/x
  3. Step 3: Cross multiply
    19,957.12x = 29,939.73 × 7,476.91
  4. Step 4: Simplify right side
    19,957.12x = 223,856,563.75
  5. Step 5: Solve for x
    x = 223,856,563.75/19,957.12
  6. Step 6: Final answer
    x = 11,216.88

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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.