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Finding the Fourth Proportional to 3,777.57, 5,667.57 and 1,831.14

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Solution

The fourth proportional to 3,777.57, 5,667.57 and 1,831.14 is: 2,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.57 : 5,667.57 = 1,831.14 : x
  2. Step 2: Convert to fraction form
    3,777.57/5,667.57 = 1,831.14/x
  3. Step 3: Cross multiply
    3,777.57x = 5,667.57 × 1,831.14
  4. Step 4: Simplify right side
    3,777.57x = 10,378,114.13
  5. Step 5: Solve for x
    x = 10,378,114.13/3,777.57
  6. Step 6: Final answer
    x = 2,747.30

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1.5x scale

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.