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Finding the Fourth Proportional to 2,643.62, 3,962.81 and 1,474.16

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Solution

The fourth proportional to 2,643.62, 3,962.81 and 1,474.16 is: 2,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.62 : 3,962.81 = 1,474.16 : x
  2. Step 2: Convert to fraction form
    2,643.62/3,962.81 = 1,474.16/x
  3. Step 3: Cross multiply
    2,643.62x = 3,962.81 × 1,474.16
  4. Step 4: Simplify right side
    2,643.62x = 5,841,815.99
  5. Step 5: Solve for x
    x = 5,841,815.99/2,643.62
  6. Step 6: Final answer
    x = 2,209.78

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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.