Home / 2,271.96-3,134.02-1,431.21

Finding the Fourth Proportional to 2,271.96, 3,134.02 and 1,431.21

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Solution

The fourth proportional to 2,271.96, 3,134.02 and 1,431.21 is: 1,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.96 : 3,134.02 = 1,431.21 : x
  2. Step 2: Convert to fraction form
    2,271.96/3,134.02 = 1,431.21/x
  3. Step 3: Cross multiply
    2,271.96x = 3,134.02 × 1,431.21
  4. Step 4: Simplify right side
    2,271.96x = 4,485,433.61
  5. Step 5: Solve for x
    x = 4,485,433.61/2,271.96
  6. Step 6: Final answer
    x = 1,974.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.