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Finding the Fourth Proportional to 4,143.42, 5,718.42 and 2,571.75

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Solution

The fourth proportional to 4,143.42, 5,718.42 and 2,571.75 is: 3,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.42 : 5,718.42 = 2,571.75 : x
  2. Step 2: Convert to fraction form
    4,143.42/5,718.42 = 2,571.75/x
  3. Step 3: Cross multiply
    4,143.42x = 5,718.42 × 2,571.75
  4. Step 4: Simplify right side
    4,143.42x = 14,706,346.64
  5. Step 5: Solve for x
    x = 14,706,346.64/4,143.42
  6. Step 6: Final answer
    x = 3,549.33

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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.