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Finding the Fourth Proportional to 3,763.74, 5,646 and 1,571.24

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Solution

The fourth proportional to 3,763.74, 5,646 and 1,571.24 is: 2,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.74 : 5,646 = 1,571.24 : x
  2. Step 2: Convert to fraction form
    3,763.74/5,646 = 1,571.24/x
  3. Step 3: Cross multiply
    3,763.74x = 5,646 × 1,571.24
  4. Step 4: Simplify right side
    3,763.74x = 8,871,221.04
  5. Step 5: Solve for x
    x = 8,871,221.04/3,763.74
  6. Step 6: Final answer
    x = 2,357.02

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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.