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Finding the Fourth Proportional to 19,976.58, 29,957.08 and 7,489.80

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Solution

The fourth proportional to 19,976.58, 29,957.08 and 7,489.80 is: 11,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.58 : 29,957.08 = 7,489.80 : x
  2. Step 2: Convert to fraction form
    19,976.58/29,957.08 = 7,489.80/x
  3. Step 3: Cross multiply
    19,976.58x = 29,957.08 × 7,489.80
  4. Step 4: Simplify right side
    19,976.58x = 224,372,533.10
  5. Step 5: Solve for x
    x = 224,372,533.10/19,976.58
  6. Step 6: Final answer
    x = 11,231.78

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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.