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Finding the Fourth Proportional to 7,140.81, 10,716.06 and 2,523.81

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Solution

The fourth proportional to 7,140.81, 10,716.06 and 2,523.81 is: 3,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.81 : 10,716.06 = 2,523.81 : x
  2. Step 2: Convert to fraction form
    7,140.81/10,716.06 = 2,523.81/x
  3. Step 3: Cross multiply
    7,140.81x = 10,716.06 × 2,523.81
  4. Step 4: Simplify right side
    7,140.81x = 27,045,299.39
  5. Step 5: Solve for x
    x = 27,045,299.39/7,140.81
  6. Step 6: Final answer
    x = 3,787.43

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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.