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Finding the Fourth Proportional to 3,073.50, 4,241.43 and 1,831.50

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Solution

The fourth proportional to 3,073.50, 4,241.43 and 1,831.50 is: 2,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.50 : 4,241.43 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    3,073.50/4,241.43 = 1,831.50/x
  3. Step 3: Cross multiply
    3,073.50x = 4,241.43 × 1,831.50
  4. Step 4: Simplify right side
    3,073.50x = 7,768,179.05
  5. Step 5: Solve for x
    x = 7,768,179.05/3,073.50
  6. Step 6: Final answer
    x = 2,527.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.