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Finding the Fourth Proportional to 7,806.54, 11,698.74 and 3,913.68

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Solution

The fourth proportional to 7,806.54, 11,698.74 and 3,913.68 is: 5,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.54 : 11,698.74 = 3,913.68 : x
  2. Step 2: Convert to fraction form
    7,806.54/11,698.74 = 3,913.68/x
  3. Step 3: Cross multiply
    7,806.54x = 11,698.74 × 3,913.68
  4. Step 4: Simplify right side
    7,806.54x = 45,785,124.76
  5. Step 5: Solve for x
    x = 45,785,124.76/7,806.54
  6. Step 6: Final answer
    x = 5,864.97

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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.