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Finding the Fourth Proportional to 12,665.66, 18,979.05 and 7,727.90

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Solution

The fourth proportional to 12,665.66, 18,979.05 and 7,727.90 is: 11,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.66 : 18,979.05 = 7,727.90 : x
  2. Step 2: Convert to fraction form
    12,665.66/18,979.05 = 7,727.90/x
  3. Step 3: Cross multiply
    12,665.66x = 18,979.05 × 7,727.90
  4. Step 4: Simplify right side
    12,665.66x = 146,668,200.50
  5. Step 5: Solve for x
    x = 146,668,200.50/12,665.66
  6. Step 6: Final answer
    x = 11,579.99

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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.