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Finding the Fourth Proportional to 2,271.22, 3,405.49 and 865.71

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Solution

The fourth proportional to 2,271.22, 3,405.49 and 865.71 is: 1,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.22 : 3,405.49 = 865.71 : x
  2. Step 2: Convert to fraction form
    2,271.22/3,405.49 = 865.71/x
  3. Step 3: Cross multiply
    2,271.22x = 3,405.49 × 865.71
  4. Step 4: Simplify right side
    2,271.22x = 2,948,164.58
  5. Step 5: Solve for x
    x = 2,948,164.58/2,271.22
  6. Step 6: Final answer
    x = 1,298.05

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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.