Home / 5,223.84-7,836.92-1,761

Finding the Fourth Proportional to 5,223.84, 7,836.92 and 1,761

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Solution

The fourth proportional to 5,223.84, 7,836.92 and 1,761 is: 2,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.84 : 7,836.92 = 1,761 : x
  2. Step 2: Convert to fraction form
    5,223.84/7,836.92 = 1,761/x
  3. Step 3: Cross multiply
    5,223.84x = 7,836.92 × 1,761
  4. Step 4: Simplify right side
    5,223.84x = 13,800,816.12
  5. Step 5: Solve for x
    x = 13,800,816.12/5,223.84
  6. Step 6: Final answer
    x = 2,641.89

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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.