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Finding the Fourth Proportional to 7,804.67, 11,708.72 and 2,540.22

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Solution

The fourth proportional to 7,804.67, 11,708.72 and 2,540.22 is: 3,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.67 : 11,708.72 = 2,540.22 : x
  2. Step 2: Convert to fraction form
    7,804.67/11,708.72 = 2,540.22/x
  3. Step 3: Cross multiply
    7,804.67x = 11,708.72 × 2,540.22
  4. Step 4: Simplify right side
    7,804.67x = 29,742,712.02
  5. Step 5: Solve for x
    x = 29,742,712.02/7,804.67
  6. Step 6: Final answer
    x = 3,810.89

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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.