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Finding the Fourth Proportional to 8,947.81, 13,421.72 and 2,791.81

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Solution

The fourth proportional to 8,947.81, 13,421.72 and 2,791.81 is: 4,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.81 : 13,421.72 = 2,791.81 : x
  2. Step 2: Convert to fraction form
    8,947.81/13,421.72 = 2,791.81/x
  3. Step 3: Cross multiply
    8,947.81x = 13,421.72 × 2,791.81
  4. Step 4: Simplify right side
    8,947.81x = 37,470,892.11
  5. Step 5: Solve for x
    x = 37,470,892.11/8,947.81
  6. Step 6: Final answer
    x = 4,187.72

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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.