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Finding the Fourth Proportional to 2,271.42, 3,406.92 and 627.84

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Solution

The fourth proportional to 2,271.42, 3,406.92 and 627.84 is: 941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.42 : 3,406.92 = 627.84 : x
  2. Step 2: Convert to fraction form
    2,271.42/3,406.92 = 627.84/x
  3. Step 3: Cross multiply
    2,271.42x = 3,406.92 × 627.84
  4. Step 4: Simplify right side
    2,271.42x = 2,139,000.65
  5. Step 5: Solve for x
    x = 2,139,000.65/2,271.42
  6. Step 6: Final answer
    x = 941.70

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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.