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Finding the Fourth Proportional to 4,871.14, 7,311.90 and 2,099.17

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Solution

The fourth proportional to 4,871.14, 7,311.90 and 2,099.17 is: 3,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.14 : 7,311.90 = 2,099.17 : x
  2. Step 2: Convert to fraction form
    4,871.14/7,311.90 = 2,099.17/x
  3. Step 3: Cross multiply
    4,871.14x = 7,311.90 × 2,099.17
  4. Step 4: Simplify right side
    4,871.14x = 15,348,921.12
  5. Step 5: Solve for x
    x = 15,348,921.12/4,871.14
  6. Step 6: Final answer
    x = 3,150.99

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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.