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Finding the Fourth Proportional to 7,871.70, 11,809.49 and 2,325.02

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Solution

The fourth proportional to 7,871.70, 11,809.49 and 2,325.02 is: 3,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.70 : 11,809.49 = 2,325.02 : x
  2. Step 2: Convert to fraction form
    7,871.70/11,809.49 = 2,325.02/x
  3. Step 3: Cross multiply
    7,871.70x = 11,809.49 × 2,325.02
  4. Step 4: Simplify right side
    7,871.70x = 27,457,229.77
  5. Step 5: Solve for x
    x = 27,457,229.77/7,871.70
  6. Step 6: Final answer
    x = 3,488.09

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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.