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Finding the Fourth Proportional to 7,806.16, 11,711.40 and 3,192.40

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Solution

The fourth proportional to 7,806.16, 11,711.40 and 3,192.40 is: 4,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.16 : 11,711.40 = 3,192.40 : x
  2. Step 2: Convert to fraction form
    7,806.16/11,711.40 = 3,192.40/x
  3. Step 3: Cross multiply
    7,806.16x = 11,711.40 × 3,192.40
  4. Step 4: Simplify right side
    7,806.16x = 37,387,473.36
  5. Step 5: Solve for x
    x = 37,387,473.36/7,806.16
  6. Step 6: Final answer
    x = 4,789.48

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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.