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Finding the Fourth Proportional to 3,287.94, 4,929.30 and 1,643.64

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Solution

The fourth proportional to 3,287.94, 4,929.30 and 1,643.64 is: 2,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.94 : 4,929.30 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    3,287.94/4,929.30 = 1,643.64/x
  3. Step 3: Cross multiply
    3,287.94x = 4,929.30 × 1,643.64
  4. Step 4: Simplify right side
    3,287.94x = 8,101,994.65
  5. Step 5: Solve for x
    x = 8,101,994.65/3,287.94
  6. Step 6: Final answer
    x = 2,464.16

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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.