Home / 2,560.14-3,840.40-711.40

Finding the Fourth Proportional to 2,560.14, 3,840.40 and 711.40

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Solution

The fourth proportional to 2,560.14, 3,840.40 and 711.40 is: 1,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.14 : 3,840.40 = 711.40 : x
  2. Step 2: Convert to fraction form
    2,560.14/3,840.40 = 711.40/x
  3. Step 3: Cross multiply
    2,560.14x = 3,840.40 × 711.40
  4. Step 4: Simplify right side
    2,560.14x = 2,732,060.56
  5. Step 5: Solve for x
    x = 2,732,060.56/2,560.14
  6. Step 6: Final answer
    x = 1,067.15

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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.