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Finding the Fourth Proportional to 2,271, 3,405.93 and 627.46

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Solution

The fourth proportional to 2,271, 3,405.93 and 627.46 is: 941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 3,405.93 = 627.46 : x
  2. Step 2: Convert to fraction form
    2,271/3,405.93 = 627.46/x
  3. Step 3: Cross multiply
    2,271x = 3,405.93 × 627.46
  4. Step 4: Simplify right side
    2,271x = 2,137,084.84
  5. Step 5: Solve for x
    x = 2,137,084.84/2,271
  6. Step 6: Final answer
    x = 941.03

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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.