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Finding the Fourth Proportional to 3,756.47, 5,629.22 and 2,113.47

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Solution

The fourth proportional to 3,756.47, 5,629.22 and 2,113.47 is: 3,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.47 : 5,629.22 = 2,113.47 : x
  2. Step 2: Convert to fraction form
    3,756.47/5,629.22 = 2,113.47/x
  3. Step 3: Cross multiply
    3,756.47x = 5,629.22 × 2,113.47
  4. Step 4: Simplify right side
    3,756.47x = 11,897,187.59
  5. Step 5: Solve for x
    x = 11,897,187.59/3,756.47
  6. Step 6: Final answer
    x = 3,167.12

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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.