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Finding the Fourth Proportional to 3,540.84, 5,311.07 and 943.77

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Solution

The fourth proportional to 3,540.84, 5,311.07 and 943.77 is: 1,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.84 : 5,311.07 = 943.77 : x
  2. Step 2: Convert to fraction form
    3,540.84/5,311.07 = 943.77/x
  3. Step 3: Cross multiply
    3,540.84x = 5,311.07 × 943.77
  4. Step 4: Simplify right side
    3,540.84x = 5,012,428.53
  5. Step 5: Solve for x
    x = 5,012,428.53/3,540.84
  6. Step 6: Final answer
    x = 1,415.60

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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.