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Finding the Fourth Proportional to 3,471.84, 5,208.09 and 1,280.04

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Solution

The fourth proportional to 3,471.84, 5,208.09 and 1,280.04 is: 1,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.84 : 5,208.09 = 1,280.04 : x
  2. Step 2: Convert to fraction form
    3,471.84/5,208.09 = 1,280.04/x
  3. Step 3: Cross multiply
    3,471.84x = 5,208.09 × 1,280.04
  4. Step 4: Simplify right side
    3,471.84x = 6,666,563.52
  5. Step 5: Solve for x
    x = 6,666,563.52/3,471.84
  6. Step 6: Final answer
    x = 1,920.18

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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.