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Finding the Fourth Proportional to 3,750.70, 5,638.20 and 3,216.10

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Solution

The fourth proportional to 3,750.70, 5,638.20 and 3,216.10 is: 4,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.70 : 5,638.20 = 3,216.10 : x
  2. Step 2: Convert to fraction form
    3,750.70/5,638.20 = 3,216.10/x
  3. Step 3: Cross multiply
    3,750.70x = 5,638.20 × 3,216.10
  4. Step 4: Simplify right side
    3,750.70x = 18,133,015.02
  5. Step 5: Solve for x
    x = 18,133,015.02/3,750.70
  6. Step 6: Final answer
    x = 4,834.57

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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.