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Finding the Fourth Proportional to 7,806.93, 11,707.44 and 2,807.97

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Solution

The fourth proportional to 7,806.93, 11,707.44 and 2,807.97 is: 4,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.93 : 11,707.44 = 2,807.97 : x
  2. Step 2: Convert to fraction form
    7,806.93/11,707.44 = 2,807.97/x
  3. Step 3: Cross multiply
    7,806.93x = 11,707.44 × 2,807.97
  4. Step 4: Simplify right side
    7,806.93x = 32,874,085.86
  5. Step 5: Solve for x
    x = 32,874,085.86/7,806.93
  6. Step 6: Final answer
    x = 4,210.88

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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.