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Finding the Fourth Proportional to 2,560.42, 3,840.26 and 711.68

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Solution

The fourth proportional to 2,560.42, 3,840.26 and 711.68 is: 1,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.42 : 3,840.26 = 711.68 : x
  2. Step 2: Convert to fraction form
    2,560.42/3,840.26 = 711.68/x
  3. Step 3: Cross multiply
    2,560.42x = 3,840.26 × 711.68
  4. Step 4: Simplify right side
    2,560.42x = 2,733,036.24
  5. Step 5: Solve for x
    x = 2,733,036.24/2,560.42
  6. Step 6: Final answer
    x = 1,067.42

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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.