Home / 2,271.58-3,407.38-810.78

Finding the Fourth Proportional to 2,271.58, 3,407.38 and 810.78

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Solution

The fourth proportional to 2,271.58, 3,407.38 and 810.78 is: 1,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.58 : 3,407.38 = 810.78 : x
  2. Step 2: Convert to fraction form
    2,271.58/3,407.38 = 810.78/x
  3. Step 3: Cross multiply
    2,271.58x = 3,407.38 × 810.78
  4. Step 4: Simplify right side
    2,271.58x = 2,762,635.56
  5. Step 5: Solve for x
    x = 2,762,635.56/2,271.58
  6. Step 6: Final answer
    x = 1,216.17

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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.