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Finding the Fourth Proportional to 26,662.52, 39,979.80 and 7,940

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Solution

The fourth proportional to 26,662.52, 39,979.80 and 7,940 is: 11,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,662.52 : 39,979.80 = 7,940 : x
  2. Step 2: Convert to fraction form
    26,662.52/39,979.80 = 7,940/x
  3. Step 3: Cross multiply
    26,662.52x = 39,979.80 × 7,940
  4. Step 4: Simplify right side
    26,662.52x = 317,439,612
  5. Step 5: Solve for x
    x = 317,439,612/26,662.52
  6. Step 6: Final answer
    x = 11,905.84

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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.