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Finding the Fourth Proportional to 7,806.91, 11,708.54 and 2,258.77

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Solution

The fourth proportional to 7,806.91, 11,708.54 and 2,258.77 is: 3,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.91 : 11,708.54 = 2,258.77 : x
  2. Step 2: Convert to fraction form
    7,806.91/11,708.54 = 2,258.77/x
  3. Step 3: Cross multiply
    7,806.91x = 11,708.54 × 2,258.77
  4. Step 4: Simplify right side
    7,806.91x = 26,446,840.35
  5. Step 5: Solve for x
    x = 26,446,840.35/7,806.91
  6. Step 6: Final answer
    x = 3,387.62

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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.