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Finding the Fourth Proportional to 7,869.63, 11,804.47 and 3,189.72

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Solution

The fourth proportional to 7,869.63, 11,804.47 and 3,189.72 is: 4,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.63 : 11,804.47 = 3,189.72 : x
  2. Step 2: Convert to fraction form
    7,869.63/11,804.47 = 3,189.72/x
  3. Step 3: Cross multiply
    7,869.63x = 11,804.47 × 3,189.72
  4. Step 4: Simplify right side
    7,869.63x = 37,652,954.05
  5. Step 5: Solve for x
    x = 37,652,954.05/7,869.63
  6. Step 6: Final answer
    x = 4,784.59

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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.