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Finding the Fourth Proportional to 3,800.50, 5,731.14 and 3,748.52

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Solution

The fourth proportional to 3,800.50, 5,731.14 and 3,748.52 is: 5,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.50 : 5,731.14 = 3,748.52 : x
  2. Step 2: Convert to fraction form
    3,800.50/5,731.14 = 3,748.52/x
  3. Step 3: Cross multiply
    3,800.50x = 5,731.14 × 3,748.52
  4. Step 4: Simplify right side
    3,800.50x = 21,483,292.91
  5. Step 5: Solve for x
    x = 21,483,292.91/3,800.50
  6. Step 6: Final answer
    x = 5,652.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.