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Finding the Fourth Proportional to 19,665.92, 29,511 and 7,979.24

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Solution

The fourth proportional to 19,665.92, 29,511 and 7,979.24 is: 11,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.92 : 29,511 = 7,979.24 : x
  2. Step 2: Convert to fraction form
    19,665.92/29,511 = 7,979.24/x
  3. Step 3: Cross multiply
    19,665.92x = 29,511 × 7,979.24
  4. Step 4: Simplify right side
    19,665.92x = 235,475,351.64
  5. Step 5: Solve for x
    x = 235,475,351.64/19,665.92
  6. Step 6: Final answer
    x = 11,973.78

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1.5x scale

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.