Home / 4,146.80-5,723.20-2,378.64

Finding the Fourth Proportional to 4,146.80, 5,723.20 and 2,378.64

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Solution

The fourth proportional to 4,146.80, 5,723.20 and 2,378.64 is: 3,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.80 : 5,723.20 = 2,378.64 : x
  2. Step 2: Convert to fraction form
    4,146.80/5,723.20 = 2,378.64/x
  3. Step 3: Cross multiply
    4,146.80x = 5,723.20 × 2,378.64
  4. Step 4: Simplify right side
    4,146.80x = 13,613,432.45
  5. Step 5: Solve for x
    x = 13,613,432.45/4,146.80
  6. Step 6: Final answer
    x = 3,282.88

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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.