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Finding the Fourth Proportional to 2,817.48, 4,226.22 and 869.64

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Solution

The fourth proportional to 2,817.48, 4,226.22 and 869.64 is: 1,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.48 : 4,226.22 = 869.64 : x
  2. Step 2: Convert to fraction form
    2,817.48/4,226.22 = 869.64/x
  3. Step 3: Cross multiply
    2,817.48x = 4,226.22 × 869.64
  4. Step 4: Simplify right side
    2,817.48x = 3,675,289.96
  5. Step 5: Solve for x
    x = 3,675,289.96/2,817.48
  6. Step 6: Final answer
    x = 1,304.46

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1.5x scale

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.