Home / 2,271.07-3,406.76-810.20

Finding the Fourth Proportional to 2,271.07, 3,406.76 and 810.20

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Solution

The fourth proportional to 2,271.07, 3,406.76 and 810.20 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.07 : 3,406.76 = 810.20 : x
  2. Step 2: Convert to fraction form
    2,271.07/3,406.76 = 810.20/x
  3. Step 3: Cross multiply
    2,271.07x = 3,406.76 × 810.20
  4. Step 4: Simplify right side
    2,271.07x = 2,760,164.46
  5. Step 5: Solve for x
    x = 2,760,164.46/2,271.07
  6. Step 6: Final answer
    x = 1,215.36

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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.