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Finding the Fourth Proportional to 7,871.73, 11,808.87 and 2,325.63

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Solution

The fourth proportional to 7,871.73, 11,808.87 and 2,325.63 is: 3,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.73 : 11,808.87 = 2,325.63 : x
  2. Step 2: Convert to fraction form
    7,871.73/11,808.87 = 2,325.63/x
  3. Step 3: Cross multiply
    7,871.73x = 11,808.87 × 2,325.63
  4. Step 4: Simplify right side
    7,871.73x = 27,463,062.34
  5. Step 5: Solve for x
    x = 27,463,062.34/7,871.73
  6. Step 6: Final answer
    x = 3,488.82

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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.