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Finding the Fourth Proportional to 3,753.11, 5,629.26 and 1,287.47

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Solution

The fourth proportional to 3,753.11, 5,629.26 and 1,287.47 is: 1,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.11 : 5,629.26 = 1,287.47 : x
  2. Step 2: Convert to fraction form
    3,753.11/5,629.26 = 1,287.47/x
  3. Step 3: Cross multiply
    3,753.11x = 5,629.26 × 1,287.47
  4. Step 4: Simplify right side
    3,753.11x = 7,247,503.37
  5. Step 5: Solve for x
    x = 7,247,503.37/3,753.11
  6. Step 6: Final answer
    x = 1,931.07

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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.