Home / 5,244.75-7,868.34-1,782

Finding the Fourth Proportional to 5,244.75, 7,868.34 and 1,782

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Solution

The fourth proportional to 5,244.75, 7,868.34 and 1,782 is: 2,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.75 : 7,868.34 = 1,782 : x
  2. Step 2: Convert to fraction form
    5,244.75/7,868.34 = 1,782/x
  3. Step 3: Cross multiply
    5,244.75x = 7,868.34 × 1,782
  4. Step 4: Simplify right side
    5,244.75x = 14,021,381.88
  5. Step 5: Solve for x
    x = 14,021,381.88/5,244.75
  6. Step 6: Final answer
    x = 2,673.41

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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.