Home / 2,560.40-3,841.20-805.52

Finding the Fourth Proportional to 2,560.40, 3,841.20 and 805.52

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Solution

The fourth proportional to 2,560.40, 3,841.20 and 805.52 is: 1,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.40 : 3,841.20 = 805.52 : x
  2. Step 2: Convert to fraction form
    2,560.40/3,841.20 = 805.52/x
  3. Step 3: Cross multiply
    2,560.40x = 3,841.20 × 805.52
  4. Step 4: Simplify right side
    2,560.40x = 3,094,163.42
  5. Step 5: Solve for x
    x = 3,094,163.42/2,560.40
  6. Step 6: Final answer
    x = 1,208.47

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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.