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Finding the Fourth Proportional to 2,662.84, 3,998.58 and 1,643.32

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Solution

The fourth proportional to 2,662.84, 3,998.58 and 1,643.32 is: 2,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.84 : 3,998.58 = 1,643.32 : x
  2. Step 2: Convert to fraction form
    2,662.84/3,998.58 = 1,643.32/x
  3. Step 3: Cross multiply
    2,662.84x = 3,998.58 × 1,643.32
  4. Step 4: Simplify right side
    2,662.84x = 6,570,946.49
  5. Step 5: Solve for x
    x = 6,570,946.49/2,662.84
  6. Step 6: Final answer
    x = 2,467.65

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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.