Home / 3,835.84-5,754.48-2,102.08

Finding the Fourth Proportional to 3,835.84, 5,754.48 and 2,102.08

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Solution

The fourth proportional to 3,835.84, 5,754.48 and 2,102.08 is: 3,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.84 : 5,754.48 = 2,102.08 : x
  2. Step 2: Convert to fraction form
    3,835.84/5,754.48 = 2,102.08/x
  3. Step 3: Cross multiply
    3,835.84x = 5,754.48 × 2,102.08
  4. Step 4: Simplify right side
    3,835.84x = 12,096,377.32
  5. Step 5: Solve for x
    x = 12,096,377.32/3,835.84
  6. Step 6: Final answer
    x = 3,153.51

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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.