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Finding the Fourth Proportional to 3,809.84, 5,257.58 and 2,153.84

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Solution

The fourth proportional to 3,809.84, 5,257.58 and 2,153.84 is: 2,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.84 : 5,257.58 = 2,153.84 : x
  2. Step 2: Convert to fraction form
    3,809.84/5,257.58 = 2,153.84/x
  3. Step 3: Cross multiply
    3,809.84x = 5,257.58 × 2,153.84
  4. Step 4: Simplify right side
    3,809.84x = 11,323,949.05
  5. Step 5: Solve for x
    x = 11,323,949.05/3,809.84
  6. Step 6: Final answer
    x = 2,972.29

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1.5x scale

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.