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Finding the Fourth Proportional to 3,298, 4,551.24 and 1,900.84

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Solution

The fourth proportional to 3,298, 4,551.24 and 1,900.84 is: 2,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 4,551.24 = 1,900.84 : x
  2. Step 2: Convert to fraction form
    3,298/4,551.24 = 1,900.84/x
  3. Step 3: Cross multiply
    3,298x = 4,551.24 × 1,900.84
  4. Step 4: Simplify right side
    3,298x = 8,651,179.04
  5. Step 5: Solve for x
    x = 8,651,179.04/3,298
  6. Step 6: Final answer
    x = 2,623.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.