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Finding the Fourth Proportional to 7,782.54, 11,673.75 and 1,939.11

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Solution

The fourth proportional to 7,782.54, 11,673.75 and 1,939.11 is: 2,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.54 : 11,673.75 = 1,939.11 : x
  2. Step 2: Convert to fraction form
    7,782.54/11,673.75 = 1,939.11/x
  3. Step 3: Cross multiply
    7,782.54x = 11,673.75 × 1,939.11
  4. Step 4: Simplify right side
    7,782.54x = 22,636,685.36
  5. Step 5: Solve for x
    x = 22,636,685.36/7,782.54
  6. Step 6: Final answer
    x = 2,908.65

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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.