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Finding the Fourth Proportional to 5,223.88, 7,836.24 and 2,103.49

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Solution

The fourth proportional to 5,223.88, 7,836.24 and 2,103.49 is: 3,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.88 : 7,836.24 = 2,103.49 : x
  2. Step 2: Convert to fraction form
    5,223.88/7,836.24 = 2,103.49/x
  3. Step 3: Cross multiply
    5,223.88x = 7,836.24 × 2,103.49
  4. Step 4: Simplify right side
    5,223.88x = 16,483,452.48
  5. Step 5: Solve for x
    x = 16,483,452.48/5,223.88
  6. Step 6: Final answer
    x = 3,155.40

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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.