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Finding the Fourth Proportional to 5,277.70, 7,914.39 and 1,989.01

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Solution

The fourth proportional to 5,277.70, 7,914.39 and 1,989.01 is: 2,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.70 : 7,914.39 = 1,989.01 : x
  2. Step 2: Convert to fraction form
    5,277.70/7,914.39 = 1,989.01/x
  3. Step 3: Cross multiply
    5,277.70x = 7,914.39 × 1,989.01
  4. Step 4: Simplify right side
    5,277.70x = 15,741,800.85
  5. Step 5: Solve for x
    x = 15,741,800.85/5,277.70
  6. Step 6: Final answer
    x = 2,982.70

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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.